{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " INFO log level set to INFO\n" ] } ], "source": [ "# load libraries\n", "import numpy as np\n", "import scipy.io as sio\n", "import scipy.signal as sig\n", "from tvb.simulator.lab import *\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "import os\n", "import multiprocessing as mp \n", "from matplotlib.gridspec import GridSpec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Here we present an approach to link molecular of Alzheimer's disease (AD) to large-scale simulations of The Virtual Brain\n", "# Therefore, regional burden of Amyloid beta (Abeta) is derived from AV-45 positrone emission tomography (PET)\n", "# A cause-and-effect model defines the inhibitory rate of each region as a function of the Abeta burden\n", "# This leads to an AD-specific slowing in local field potentials and EEG\n", "\n", "# Preprint of original publication can be found here: https://www.biorxiv.org/content/10.1101/600205v2\n", "\n", "# Please cite as: \n", "# Stefanovski, L., P. Triebkorn, A. Spiegler, M.-A. Diaz-Cortes, A. Solodkin, V. Jirsa, \n", "# R. McIntosh and P. Ritter; for the Alzheimer's disease Neuromigang Initiative (2019). \n", "# \"Linking molecular pathways and large-scale computational modeling to assess candidate \n", "# disease mechanisms and pharmacodynamics in Alzheimer's disease.\" bioRxiv: 600205.\n", "\n", "# Empirical data were obtained from the Alzheimer’s Disease Neuroimaging Initiative (ADNI) database \n", "# (adni.loni.usc.edu). The ADNI was launched in 2003 as a public-private partnership, \n", "# led by Principal Investigator Michael W. Weiner. The primary goal of ADNI has been to test whether \n", "# serial MRI, PET, other biological markers, and clinical and neuropsychological assessment can be \n", "# combined to measure the progression of MCI and early AD. For up-to-date information, see www.adni-info.org. \n", "# ADNI acknowledgements: \n", "# http://adni.loni.usc.edu/wp-content/themes/freshnews-dev-v2/documents/policy/ADNI_Acknowledgement_List%205-29-18.pdf'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data source" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# set path to the educase folder where this notebook \n", "# and all the input data necessary for the simulation can be found\n", "# NOTE: we provide an artificial surrogate dataset that is created by noise \n", "# and important properties of the empirical data in ADNI\n", "# For the original dataset of ADNI, please apply for access to ADNI-3:\n", "# http://adni.loni.usc.edu/data-samples/access-data/\n", "\n", "# necessary data is:\n", "# 1 structural connectivity matrix in .txt format\n", "# for each subject 3 arrays with Abeta SUVR for left and right hemisphere and for subcortical areas\n", "# for each subject 1 leadfield matrix\n", "educase_folder = \"/Users/leon/Desktop/Educase_ADNI_surrogate\"\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Cause-and-effect model for Abeta: sigmoidal transfer function" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAE1CAYAAADwCQfKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Evidence for local effects of Abeta to inhibitory interneurons, e.g.: \n", "# Ren et al. 2018 Scientific Reports: https://www.nature.com/articles/s41598-017-18729-5\n", "# Ulrich 2015 J Neurosci: http://www.jneurosci.org/content/jneuro/35/24/9205.full.pdf\n", "# Ripoli et al. 2014 J Neurosci: http://www.jneurosci.org/content/34/38/12893\n", "# We define here the local inhibitory rate b as a function of Abeta burden:\n", "\n", "# min_val is the lower asymptote of the sigmoid with a inhibitory time constant tau_i = 1/b = 50 ms\n", "# max_val is the differnece between lower and upper asymptote of the sigmoid\n", "# max_val + min_val is the upper asymptote of the sigmoid at tau_i = 1/b = 14.29 ms\n", "# abeta_max is the 95th perecentile of Abeta SUVRs in the original study population\n", "# abeta_off is the cut-off SUVR from which on the sigmoid decreases, \n", "# see Jack et al. 2014 Lancet Neurol: https://www.ncbi.nlm.nih.gov/pubmed/25201514\n", "\n", "def transform_abeta_exp(abeta, max_val = 0.05, min_val = 0.02, abeta_max = 2.65, abeta_off = 1.4):\n", " #k = 1.5 # steepness of the curve\n", " x_0 = (abeta_max - abeta_off) / 2 + abeta_off # x value of sigmoid midpoint\n", " k = np.log( max_val / ((min_val+0.001) - min_val) -1) / (abeta_max - x_0)\n", " return max_val / (1 + np.exp(k * (abeta - x_0) )) + min_val\n", "\n", "# visualize \n", "x = np.arange(1.,3,0.01)\n", "plt.plot(x, transform_abeta_exp(x))\n", "plt.xlabel(\"Abeta PET SUVR\")\n", "plt.ylabel(\"inhibitory rate b\")\n", "plt.suptitle(\"Sigmoidal transfer function\", fontweight=\"bold\", fontsize=\"18\", y = 1.05)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load individual Abeta PET SUVRs" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAE1CAYAAADnK5cDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# select the subject you want to simulate\n", "DX = \"MCI\" # one of AD, MCI or HC\n", "modality=\"Amyloid\"\n", "pet_path=educase_folder+\"/\"+DX\n", "RH_pet = np.loadtxt(pet_path+\"/\"+DX+\"_RH.txt\")\n", "LH_pet = np.loadtxt(pet_path+\"/\"+DX+\"_LH.txt\")\n", "subcort_pet = np.loadtxt(pet_path+\"/\"+DX+\"_subcortical.txt\")\n", "abeta_burden = np.concatenate((LH_pet,RH_pet,subcort_pet))\n", "\n", "n, bins, patches = plt.hist(abeta_burden, bins='auto', color='#0504aa',\n", " alpha=0.7, rwidth=0.85)\n", "plt.grid(axis='y', alpha=0.75)\n", "plt.xlabel('Abeta SUVR')\n", "plt.ylabel('Regions')\n", "plt.suptitle(\"Abeta histogram\", fontweight=\"bold\", fontsize=\"18\", y = 1.05)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Configure Simulator" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVYAAAE1CAYAAAC8z8h3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecX1WdP/7nnV4yk2TSe0gvJKRAqEkIvSOCgiCCCLjr\nsoplXXdde8eKrmVdRBQFBAXpvbcAIYR00iY9M0lmJpnePp/z++N8ImNMIEK+C/n5eT0e9zH3nnvK\n+7T3ebf7mSSEIIssssgii/2HnHeagCyyyCKL/78hy1izyCKLLPYzsow1iyyyyGI/I8tYs8giiyz2\nM7KMNYsssshiPyPLWLPIIoss9jOyjDWLt4QkSS5JkiSduR57p+n5R0KSJF/qMvbXv416buhSzxf3\nJ43/6Mh7pwl4O0iSpDv+HWdghNifOlRhER4KIfxut/xX73oOIXzl/5TgfUCSJMNwaeZxRwjh2neQ\nnH3B3x0InSTJQPwTTsQYdEM1KnEvbgohbNyfRB5ISJLkEgzPPN4RQli4h2z7IwA97KmeA2GfvNuR\nHKgfCCRJ0gMvYaQ9L7IEz4QQZnUpM0zcvBBCCLn/zwn9O5EkyWw8nnlcG0IY8U7SszdkNv+vxbF/\nMoRw3D6Wuww/QXEmafe5S/CjEMKn9hetBxqSJHkcs8Wx+XAI4be7vR+MoZnH6hDC6rfYzkj0yzyu\n33WYHQj75N2OA1livdrrTHU9viouhmJMxFlI7VYmeTsNJklSGkJoejt17Eszmb//JydekiQlaAn/\nBydskiQX4TqvS0or8WMsQxGm4UP/r+k40JFhgG9bos8w5D0x5be1T7JACOGAvESVMS0yz6v2kqe0\ny/0TXfKn93DNyuRb2yXtRHwFa9CBj2NYl/ep3dq7pMu7x/ZAz9m4G1vQhm14Bhfv1vbeaBz6VtoX\npZ9d6WswGreLZpM0ykVTyvV4WTSltKERS/AD9NlLW6k99XUPfe+W6W8qc81FyR7yJRi7W9pB+LnI\niFvQgAWZuem+W94vdenr9TgKj2X6sgO37KEvT3Qpcwkuw6uZtjbhmzLa3W7lJuO3mXlrzYznY3jv\nXsagH76TqbsBzSJj+y167zZ/e7quz9Tz5T2kXdkl7f49tP1ol/eXZ9Ju6JL2xX3cJ6djZ5c8w3dr\n531d8r7wTvOJd4w/vdMEvGXCuanL5C7D+9H3DfI/3mVTp7uU3XXtYqyVXdJe2y1fV8aasnfG9jfM\nRlSb99RuCrfvoe3d83X6a8a6z+17nbGmUCvaM7vWW46T90LbLlpWo3xf+rqX8T9/t/4ftY/zPBv1\ne6At3YWuAV3yf6lL3tVo30O5+95gbew+57vuP7tbmYvFw2dvdH1vt/yHYvsbrIHJmTF9ozX6qz30\ncRdjLRMPj1Smz326tD0gM8+pzFiW7rYmU15nrG+0TzoxS9QydqV/Zbd+3trl3UffaT7xTl0HclTA\nvZm/CcaKkkhVkiQbkiS5KUmSM3fLf5V4mnZVtY/BzMz1ym75E4zCr0Tn2PtFaa7r+31CkiRXiptm\nlwp8G84TzRVfFyU5OBefyNQdRMlxF42zREn3725/N/QQTUCfwEmiSaUN60RH4HmZ9GPxXjyYKTcc\nV7zFNmF6l/vmEMJzb1YgSZJC8QAtFcfjxQxNHxJV4ZCh65d7qWK4KKmdJUq3u8bs5CRJRu/enNfn\n/FpRMvtjl/ef6ELXUPyvOI5pfFc8mK7A1ky2TyZJckomf4E45z0zNFeL436yKB0/nEm/V5zrVzN1\nBFFa3rVGv7mXfgohNGToTZArHmS78AGvRwDdGt7YnPVG+2SWuE9+3iX/pbtukiQpwqmZxzZxT/5j\n4p3m7G/nEk/OXSfxnlSX23fLv1c1ukuerlLjrXt4vy+q+O4S44td0m97kz51lS7X7Kf2u5oCUjht\nL21/EI+IzKFjt7H8K9r31tYb9OuXXepav4/ze2aXMi26aCQ4rcu7TvTOpHc1BVSjsEuZpV1oPr1L\n+uNd0u/ukt53t/7vkvQ+3yXtKRzd5fpZl3d/2gOtHZj8Jv3uSs+H9vD+byTWTPrMLunPd0mf1yX9\nqC7pfyOx/h375NEuZU/OpL23S9pN7zR/eCevA1liFUL4OMbjC3hItKHtkgrh7CRJ3v8Wqt51Wt/+\ntomMmNDl/o79VOdbRVsI4b7dE5Mk+apo6zsOvUQJp+tYEiWut4odXe577GOZcZm/AatDCFu7vHum\ny/0uraUrgshc2rqk1XS5r9hLm4/uJX/XMl3n8xg83eX6py40Hbxb/oDKsOfwqbeNEMLToh06wYwk\nSUYkSTJGdAoGvBb2QVPYR/y0y/1HMn/f1yXtN/upnQMSBzRjhRDCyhDCN0MIp4oM4RR/vYkPfxvV\nb9lDWldGI0mSrmPY5w3qCm/w7u/BW21/V9nq3ROTJMnDJ73OSH8nqnQzRTV3F97OeulqRilNkuTI\nt1HXvqJ2t+fOLvd7M6X8pUwIYV+iSsIbXKV/D7H7Cb/ucv9BXNjl+Vf7sZ07RcdegjOTJBkkSuaw\nWRR0/mFxwDLWJEmOzQQy/wUh4mG80CW5ax/Tf2cze2KGdbs9D+5yf8Ze6lnq9U15zpu02ZXGPc3P\nW2m/K/bUp14iE9hF4z+HEB7KSDe99qHOfcG9ovNmF36QCfX6KyRJkpMkyS5JdfmuZIxMkqRvl6zH\ndLkPotPp/wrLutzfFULI3dMlRl8Q55/Yj4OSJJn0JvW/2Rp4I/zG62GGF3mdsXaKGsm+4E33SebQ\n+Z/MY0Gm7jJxLn4bMraBf1QcyHGsH8F7kyS5R7RJrRYndaYYJrULz3e5r9WFsSRJ8ikZ++e+qkgh\nhIYkSaq9Hlj9+yRJfi86ImbZM+O6TvQKJzg3SZKb8QfR3jYdg0MIV2by7lI/EwxMkuRiMUSqJYQw\n/y22/2Z9qk6SpMnrEta3kiS5G8fjw2+lzj200ZgkydWiNJyImsTLSZL8xOtxrFNFb/v9+JQo9WzG\nQHHz/jlJku+IG3iXIyeIXv6uTHt/Y/f+/w7/laHp7CRJfi2ajVowSFT9TxMdXD8W7dbrRNtlLh5M\nkuRbYr8Hio6mz4UQFmXq72qCeF+SJOtET/9rb9bPEMKWJEnuFw/ZUV53hN4dQtj2RmW7YF/3yf+K\nZrg8zOmS/g9tBsCB67zCjfbutNqV/pjd4g/x7B7KtHd5X9mljll7afs/9tLmq12euzqPEjFm8E2d\nbKKEsn4P+Va8jfa7Oq/+xiGWyfPNPbSZ8tfxj13rvGRP6fswb5d6PSxob3P3gy75Z4lxk3vLuxID\nu+Tfo2Mn826PTqG9pWfedW1raJf0i8XY1T3RtSv/x7vkP0yU2PfU75QuDi0xumBPdV74Zn3MvD97\nD/X/jcPSXpxX+7JPuuTrGvaYwrPvNG94N1wHrClAXFyfwJ9FVatGVHfqRCn1U6K3cndp44O4T4zn\n62oP64o9pXXFNfi21wP9F4gb7ft7qjNEXCqGMt0n2jk7MrTOzfRhV9403iN6m5v2QuPf1f5ufdpb\nv/5LlD5Wi5LXAlGN/O3bqPNvEEK4QVSRvyFKQXWiNLYZz+E/M/3Ylf8pTBHVztWZ/jZjIb6G6SGE\nzXugq+vfPdH896b/1bsQwo2iFnKDqFG0imvqNVF6/YguqncI4SXRmfU9LBbntlWUZG/y1/b8X4kH\n3QaRWQV/q56/UR/vEUP1dtG9SdQC9oS9zd2+7BP+2olF/CjjHx4H7G8FZJFFFu8OJEmyVfxyrAX9\nQ4yp/YfGgWxjzSKLLN4hZD56KBbtw71FafbmLFONyEqsWWSRxd+NJElu8Nc/mNMo2onXviMEvctw\nINtYs8gii3cOu2yuTaI/4KQsU30dWYk1iyyyyGI/IyuxZpFFFlnsZ2QZaxZZZJHFfkaWsWaRRRZZ\n7GdkGWsWWWSRxX5GlrFmkUUWWexnZBlrFllkkcV+RpaxZpFFFlnsZ2QZaxZZZJHFfkaWsWaRRRZZ\n7GdkGWsWWWSRxX5GlrFmkUUWWexnZBlrFllkkcV+RpaxZpFFFlnsZ2QZaxZZZJHFfkaWsWaRRRZZ\n7GdkGWsWWWSRxX5GlrFmkUUWWexnZBlrFllkkcV+RpaxZpFFFlnsZ2QZaxZZZJHFfsa7krEmSXJK\nkiTLkyRZkSTJv7/T9GSRRRZZ/D141/2X1iRJcrACx2MzXsIFIYTl7yhhWWSRRRb7iHejxDoDK0MI\n60IIHbgFZ7/DNGWRRRZZ7DPejYx1EDZ0ed6YScsiiyyyOCCQ904T8FaQJMm7y36RRRb/YAghJG+1\nbI8kCTv3Pfu6EMLwt9rWO4V3I2PdhKFdngdn0v4KH/90udbrT3bho5sd++IzfHszO7da/+xJDqld\nqq17rhMOfsDOhh6OKHveDx/6D+1fLKa1moP6KRtapzi/xdb6gTSluWUTJ+bz4KsMPpKNCzhkFp2Z\nBo/GbV9mzBdINjP3EYwnrz+dabyIGnq9h50ddM6Lz45EC0bi9xiDZeLQD0EhXsZAcs8l9SxnnMo9\nW/AgJjL2DsZ8leo2tlRyxMEse5S+J/DYDykczafP0P3gOjOmPOeRH54iVOaZ+NBLNjQNU1CZ0jYo\nT7ouz4kFD1uRGmfakOf97msf1WNOjWQddXN70Xsb15Xwr4X61v6zT15TYmmY4JWa6ab2mUdlrhvf\nO9OPnvyuq7t/RMGF07TftAAb5Z4xUyr045Q0g3NUvLhS7bdKlP+iiBMTvYuqrHl4ApfeJCpKQfGv\nTzXp3Fe8eMqcOAzNXybvy7zyGs2NHDOOQZVsnsDC7RRVUd0Dj2IqXkV31PKly/j97RT3JncsCx5G\nH7RhC47CSgyjcAxtyzAfE3AvPpx531c07Y/DBspn0/gUyU5SmzECh2IhQwZR+yxNReiJOkaeyepb\n0Ir3YB5yyRlKuiTWqZC+jyr69ce0nn43ubMYMy52pWERNd1pGsjYvNiF8sC9azllKB1tvLCdvs1U\nFjN9GNWoz+yUM1GK76NwFWU9WLCQT0zh2idwJz6JpXEtVoxjSsJrhU59+C6lSYunFx/n6OmPu+97\nU7QvHyP9ylYmDjT06lXWn7dedH+8dezE1/cx738x7G019g7h3WgKeAmjkiQZliRJAS7AXbtneqpx\npiPuLvS7b47g6k42PUVdvt88dYWG6nJjwzIlbS16z6tT1TRQYedW2l9l7SZqWzQ82MPWuWv5UyX3\nziP9BI+9hkpqtqGOqvU0L6Iszag2itO8cC9zK9FJUkrn81gn7oqhtBeTiOWNQBN6owMHYa3IRXJF\n5lAnbtSRpJbF57ULkRZ3zHJFSQ1bOtiynJ4bJPNrJTu381onetC2icdeNXT8ail5Qkse1fXWPD/G\nsfOeUPNwLzk5KWWbd3qmepbQt8PKljEs2GbHi73MPO0RampYlOaYwMpcWysHuHHHJVbdNEFRRZPD\nb1xkSK/1tGzxyS0/RoP2lQmWYKoBYT2v1HB9Cy+xo2c57lL/aC/1H6mw5tcT+OQ96JUZi7SWX+d7\n8Zezmb+Ixmaqq5n/EM3tqCJp5YXuige8LC9vNdWVlNRiEvn5IgdpxRTWrGPVGBZV0bRF3L7dScZm\n5uE+rI7z23YrOZ2YjMY4f7md4naoQXlmntLUX086IdWAg1EmcrGdbHiYprEYjnyS41l9t2i5OibT\nz4a4VtKZPumGpWxdpfVzpegb3y27jrm3s34zVas5cz3LtrJoCatbaFzMkna2obmB5hKac1m/iv61\nNG7nhR+xeB0/rqa8hboOmjehhYeWkT/bXw4ilVhG7f08voydczV0lnpl4VTbevRxx0vna13WKr18\nJQ33UL7Y+n8qJm/KvuzhN0X+Pl57w75EDiVJ8uMkSVYmSbIgSZIpb1Y2SZJbkiSZn7kqkySZn0k/\nIUmSeUmSvJokyUtJksx50w6GEN51F07Ba6II8bk9vA9yvhRMC0HvrWH0hGXhjztOCx9ruyYUfL8l\nFP22KVR8pSo4MwQzQzBubjA2BD8Lod8jG8KR2x8NybOpMG3bM8HPOkPRjc3hx41XhO91/nP4WfpD\n4UfpK8LJLXeEuzecGIoebwqeS4eRz74W/vPs3PDoxmPCp9u/Foa2LA9+HMKAG1YFp6RDt7OvDzwT\njmu9Jwz40vrgEyGUTKwNQ19aHfLuaA55x7aGkpfrw0kv3ROGblwe/CodfCIEU2uDn7QHQ1sDvw/U\nh3471wVPtIbzwm/CkJrlwYVfCL22bwi5C5pCzgceDm4LwXEhuCEV3JEOg5pWhjFX/XfgvuD8lljP\nNSHwtWBcCHn3NwbfCCHvtvbg1hD6164JuTe1Bd8IYdDqlcEfQjho3fJw0Lol4axwc3hP000h/8LP\nBn4dWB58uDm2OeDJkL+4OTihM7bxvnvDtZ2Xh5LpW4Nj0+GMjbeF4zbcG3ymM7g9BJ9oDcqfD1QH\nbgs8Hg7e+HI4atPDYcBTq4JD5gX/lg6OaQ2sDLwn8INgfFMo+ExLyD+rJTi7NfhMCKaHYEZzKPpo\nY0jmpYI7OsIFc38THJMORS82Bsd3BANC8OcQCj7WEAo27whuDqF/zepgaCo4qzEY/VKQOy/IWRjk\ntwdXheC85qDPRcGUB4O+6WDYtmBGUzAlBMd0BCd1BBfvDGwNrApsCdwRuDfw8zB96cPBF0JwZQg+\nH4J/CsGxIbgmHQytCwakAt8IxlUHp7UFHwjBkBWBMwK/C5Lrgo90Bvk7g+TWYFB1YEWQ3xn4ZdBz\nXsxTsSjosSE4OAQfbgnOWROMD8GMEBy6IHB94BeBOwO1QW5NcEoIvBh4LjikMuiRCvxHXCeHh+Co\npkhbt/qg33Xhc7VfDIsWjQkn1/45tnNfazh86+NhTvqecG79b4Mb0kHOr0NkG29rf4fv7+O1p7bE\nE3CVKM3mYwHG7ZbnVNybuT8cc/e1bCbf9/BfmftD0D9zPxEb36yP70ZTgBDCAxj7hplOn83zLexc\n7sE/XWTCFd/27R8+o/3OIvrQ2lbCCWk+00Bncxzm65jy4QUevuZUYWZi/hVHs/0JreNn+/RTPzHh\ngoXWtI827dC5KvLrnPmRhwy9bYX1nx+jbUmRlz/5cWWDUpYZq2pHf0NfWGN9ZQ9G0HjfBCzywc7H\nfLQsqkodByVacoolX12u59EDlC5r8GTJbB3LC6OK14kR7XGPbnxSNBms9smS6zV3K/Prh6/QsKlM\nzuqZai4ZzFWd8rcl0j/byZZg8Jatdh7RU92L/e1sH0mfgfxhPnZyAxxOfzp/V8pqcj/VqfPn+Wq/\nOkDJYc0aRhfYdNUohtJQVq7mx/0U3tlq45Lhyo9O1NyWR8dzPLydc48mr0DO9xP6JhjFomZfffob\nmivyWRLc89HzonZ9Aj53B2s7aS8VddQ5mGvxs7PZRDKogaZO/nhzVGn1FANCiqls1X5vBdNw+/M8\nezDdClm7XmttLk+OojPHvEen8QrTC573bGc/Ro3nX/4od+qJWk6u4GrqFg9gZJr75jG1iaGTqN3I\nzuconc2f2kmOJaeA4wK3p6ioo7qE89L8IHBUPVPqWbBBlHqLMRoXefnpomjJORo/nU/betpKGXcc\ng7eyLQcnUVZCt46olu/shTPiuORM5cYn6NxMmMjOaqyn20G0nseOxYSd7FhH+hl2HMrireSt5uJ/\n5Y9raF+M00STRwodpH7Ny+8XNYoTKO7LxJU8G1DP+ltpGRlpKHuR+sEeqJ1ox8HdbV3alx10X1Lv\nha/P1v/JSsULU9yynvTpb2Nnv47it1f8L5FDRElTjBzqGpJ5Nn4LIYQXkiTpniRJP1FtfLOy8H5x\n0QohvLorMYSwJEmSoiRJ8jNRS3vEu5Kx7hPunk9xBx2lfjTrY2479AZ3XH60ZOVGxg0QHniWl8fS\nuQS9eO0Byo/16JLjpXc0c2easUVs3cyS1Tqa+3i1+jC5n2jxzPOz9Tmsmpy09R8byWtsHjNI87TP\nqnm80pAJ66S+VGL9kHLub+S5J+g2Ge1W5a7V8aMiLkNDofz0Dh2zhurcHJxz0R8s3zHBwvRk1SsG\n6qgtoaOF2u5MH81LffGCh585Re+xW20bWKH1Z+WMmhQZ8aocA6attf73MzgvaNrUU8PzvfQ9ab2t\nm/PZtlG06R1Kt23ozto2hhWyo1Xbfa2szdH+zSLt1UVyNnZIr8plPTsOqxAaciy/5RBlPRvU3DOL\njuvj2DUP54ynKd+g7dHJrP8DKugxU82TJVHj7b+QVUX0GMPLKZqnUlBE+xI8hXS0bd6/3dA5O62/\nfRQdm1mXLx4o7ZhJ3nRab5dfu114aIjOljSt3WltxQoqS6jYSH2JVV+dQfMyz9Yez5OP4CEcoWVz\nJTPryT9I7vxOlq+gZxkdKZpX0r4RA6OpNue/SR1D9+J4YLTfTvHh9FvLjQdTtp1nOxmzXlSfp4rm\ngGfQgxfHcBjqa6jaRM4sOn/FfXnkThcFolyqakk3sGoyHStEM8ZOUotIFcTx8QSNabyfuttEW+8c\n0XRUi36RbpvpzOW25+icRNvR5BXTWSpy+SdwItt2mR5uY+5E0WwyLs7dFrHO5BjqcvBna1rPMSg1\nRLozMHyulkUDaHlF7ZNjtf+uhAfmigfL28cbqfn7gD1FDs3YhzyD9qVskiQzURVC+JvOJklyHua/\nEVPlXfiBwL4gSZLwrfqrXbTjFl9Nfd4933yvqucGyhm7THrtKrMfz3FB6na/Dxc4q+0uv82/xJL7\np+rZWKfxxWLlV9YrmtFg6Od+p7rkg+ofKNWWrtE4M0fJY08oKTnT1tJNhkwYoGlKqeY/lUhdnCev\nvFPqi/n6dmzCShs7BlHXQn6NvG5tOiuHcflEeX/+lc6CabRMpmwrtWvI7c7OTagn5ww6byU1jj7t\ntIyhYCVtddT35dRjeLiGwQvlFlfKmT5Nx/bJCoc3aZtbFZ1jdUsZO565LRwxna2JwdfOdf7M+33/\nS1+hgbIVO/T+ZbWdK3qoHdCLl/IUTGw1ZPIqZRX1ln/0EBM+vcD40Uvd/o0LtRyekvdQruLaTs0H\nFUvJ03NIreYjC5074DY33XeZoY8/adN5h0td0MGMZSwZx6a7GHSc4lO7azm71Mi+y1ReMkRoXCOc\nMNnR//a4ZxfN4b8WSnJfEhpmUrXGmPsH2bx5mMYfl0fpdHjg5Z080kzLc0oOP1FqdL629pJ4XtS8\nIieMVzboV1ISjVt70a2HvOLhOkvG0tZG61omtPNqES3Pk38EHc9QdQq5ZaQS0jVxHor70nwHSS9C\nXwYPY+PjGBAXWs42CodS0czm0YR5mE5eHp055N7JkDKa2+icSfl4tj1BkqZlCEk1ncPwPBLK+pHT\ng4a+pB9l/Gksu5mcCUwZTuUyKnqwbTvHnBVpXYfj0tz8CGflsGYmK3YyfIuc9Abp48+Irt1NVTy2\nkE/M4cF8pjfychW55bw2lynHM+9O0YZ8FKX9CPmcH7hjLY3tDl8YvPbowZr6lim/boeasmpF83pp\n775d+rhJLK3i4UL0eltRAUmShF/vY94P+9sIhCRJzsXJIYQrM88fxIwQwse75Lkb3wohPJd5fgSf\nFSXWNyv7M1Gq/eFu7U7En3FiCGHtG9H9bnRe7RMmF7xqyvJXXfetq3SemKt8ap2wY4w/PvZTG96z\nxvM9DvPM/BN99rWfWPyjQ3kl0ZZXaOqlLzvv0D/4VM73DTttjCu+8hMnPXufsttLnfnBpcLNHzLr\nuSf51yN959qrtR9UaPJPX/GHs86RzGiVnpmj+XPlmv94CMdNpKUnV50kFPYm1Y1X86RPvJzzZtBx\nDxOG0lZDRx3/dDoXXEjOApLLSfempYD2Qlqb6JhK6BXddRN6MXuO8J4PSc88mH/PkX6okEtG894J\n9DyP8k4uPJRpieSado3zxhicU8Ugig9v1HFVvh7rd9gxrKepo19U2K9J98HbrVk0wcpfTJI6Mk/9\nht56hB0+8J/X69erTnpQodKzGlzxLz+lR6Lu6d4qQp0n82fxIEO/0CmsTdN0A/0O5SMlhNk0b5M6\nJ1fRwTuseWqMMKFEuGwSzTxbNUfPozdzxGRh2oc5bTTpHTYPG6gjL4/zRenx66jM55CBzDpT+XVV\nUuk83b63jSmB908VBhRoP+9SnYMvZdSp9D1JOCNR/uVa3pdP41gmT+L9oyn9EIOLaM4nVUWqnvAb\nws2El+jcgG6ECehO89Oi6W0aZkQhMnUMLaNJXvAXJ2R6EeZSMotPf5jWUtp70fTfFE7j0hM4aFS0\nELpXdEJ2oyOfQ6dQ9gi9juHiniS5TDiOygGcfyoHH8WhZ3NZQkGGnK05TD2JgcfzlUJ+2JecHsL4\nUzm1M1pRUt0pymFuDldiVR6Hj6KplfR6Nm8WHWlzsJWjB3NCP57qH51gySQnJw/qO3uLdK9E2w8L\n2TpJ9wvJnzkqWhrOGhBNMvsBe3NWrRQ91buuvWBfIoc2iWE3u+d5w7JJkuTivfhD18qSJBmM23Hx\nmzFVDmCJ9Zupq/33po8bWbNKanm+535+LOu2+NaCa9zUcaGan5bI++d8U/rNd9f3L1AxqVrtK/2Y\nR8mwBhO/O9+Wj6ZsHHAcjwU2tNHSSW6pIR+rtOHObnr/qEN7rwKHjptr9aox1i0by/XIaUQzt68S\nbVpH4n4s4/xP8YdnUEbBIorbo4SZNw4r6RwcO5EzO27Q7nnsfBUzyKuicygTxpP3PAvXM+xIeifk\n96d1Phu3x1CcZCjNj6Ka/uczrpItk7iqkH+9nTPfF03uD+I8PMS0a543/wNHxCCEDwfm5jj8hGf8\nx4Rvumrbj11a+3Nf/9a3FXyl3TmTbvWnGRfpHNLCOd09ftHh5lzxQjyKz2vn5P/hiBMobOHJ7ZSP\nodswTk34I05s5o8PM6kXdcdEi9XdjVTVRy+zZo68OroCHsfYau5bh14kzYRtTC6hNIemGSz/HeEU\nOh6LZRWJ++HMOK5jxnFQJ2X9ebkmmic2J6QrxQiBNhwrqvCNoue/XOR+ZVgkMtQqJCSzCLeIAs56\nVGAsZfU0zBOthO1i6NETKCUZz4AyNq8lNyG1VjRzNJF/JKkxpKtiH+1k9EhWLsz05SlMZvAYtjzN\nlPPIW8/lnR9jAAAgAElEQVTadiaN4sl5jOtF4wAKaml8LdJ07BS24uEbY7/KTqJfFau2UjGF2s2i\nMT8tfim+JdOXVvGgOAqvUDjNoLvJb0isvXZM7HbnFp7Io2YZvUfS0kzNYrz3bUust+xj3gvsUWLN\nFZ3bx2c69CI+EEJY1iXPafiXEMLpSZIcgR+FEI54s7JJkpyCfw8hzOlSV3c8iS+HEP68L3QfsBLr\n16q+4jtDPmPa5Hmeu/FYJm2hotKdHWdZ9N+HaZrd3/oPL3PXa+9x5kW3a9lRyn01LFyh+bYyL50z\n28bnu/FYJxM2su7aaH/b8gMbHilm3l22/2qg+g/18tiFZ1r/m1F8HjWNrGjm9j9jDbaL3OsETOXZ\nlChqzCU1ltYStFA2lu7nkPQUw29+H9N3rkExBQPo3IaXo/ltYRFFp7DucZa8Rt0mVvcifRD5reRv\nIn8Ojomqat/xjvza0xyaUvaFidTQ+6qN0fl8H/3+fZ1NRYOd/o27/GHk+S7v/wtaWTp4nC/lf0nt\no/18Y+lXKEvkrkp79pE5+vxmk5n/8bjzTvq9e50W7byPpFw26Zc4l53deWENZYcyciUHJzxFjxeq\nmNeCBgZMihE+P8e6eTRsRSDnAo4To6B6YGmu6PlqJCTox8LhbKuNW6DoAgq3i+JZbey3wWLY2khW\nPMmDW/jjazQWsPF50q2iLn2EeABuQ4noF62laBBWU5CQPynOizLyOqNEm1smMuUTMkRuo6FANBUc\nglGic6icvArCAqqbY5v5cyidI9pEu0W7avpVMU52HbbwgU4xnnSneBKsZeNSUrnYyotVVN/PM9V0\nrKSpncaNHNbA+OnRhrpsIztgBjkn0bCGVe2RptpnM20ty6zJcWIc9QmZPgwlZxHy6Fxv+5Z+No4c\nKhmT4uK04j7VbFlMaxEbCygpFJnx28fbCbcKIaRwlWhUX4JbQgjLkiT5aJIkV2by3IfKJElW4X/w\nsTcq26X683Hzbk1eJQaifzFJklcy4VhvOBAHrMSac1+HQ0992oWdN7t64rWsqMEKp9Tt9MCz56hI\nV+l76hbrDn7Y7JvGu6DxJy6dfSc5t9BzJM2zOGoHj1eSzkMlOWWknybnSNItDG4hlFNyKqlaNl5H\n+kN03iZuzlZxQwwWGexGccOViMz2CnHVbxBtW1vEjTYHD4vi2u2iQ2S7qKo10X1Exjv8YfyefgOo\nTjJ5xotSVZUYA3scDiL5X869mGV92LEA3eicEPd+LU4WFaDfUPSRZodc+YIX5sxRclmDER9ZZsmQ\nRLjgUK79X864Us7ZKelf5tB9m9HXbfXLgZc5//o/23rlkwbUTLWl512UTaV5GXpx/ADqp9OYUFbO\ngBpu/zWTL2T8wCjg3fCMuNG3opQBR/DNCVz+OKm22Hd9RQ1uGxainKITaOtNuI/ck0m9JEqRg/AE\nPT7HjmY8lyk3htwppBaLxtnz8TMxNORB0YW/RmQuGzPjnhKZdX/RWXQDThe3962ZvKUkdSgmnCie\nCqeKP2cxJa6hgsHkHUzL7wjdoj09vYKicbS+KDK4HiRlUcpvSWj/AQ6m7DQaHszM8S2x74b5y+Ew\nGQsPEbWjICbc6i/+mNx/JrWFpJJQTfEkWipFCX98pu37RTmwPNPnEruYe/KLYxzSfZkF350RSVzy\ngtC5ioZ22o8ibxGdK/D5ty2xvoGa/1c4y9v7yuudwgErsZbOqnGcxxyz+AU2dIhf4axW3KNJ0dON\nwpoco9pXOvlbI4Tbq12z8eP4GekKWlu4MC2/YCEDeoucZwJJPmaR7oc02wqoqWDNDfTtRr/T6XxM\nVO/KRaY6RAxAL8FscWMmomT1KBaR201UGw+jYCoeETdGAS4WGe5UcfN2Z2eeqC5WYjJ5fUnKyRtP\nrwK6T6X0OLpfLG6O3xAOY2uegjsbGXwYgxuYTvHoRiZSeFSDpLxTn1s3Gn7KSu0NhYykdVOx6tWD\nhTGjqGums4CD6bOsWt+rNyqeXWJV7TjX+oQdo7uTPkZqc2Ecr4o+pCaSaiSvO4tepSInxssvK8BE\n1hXGM6g7utdmxu3COGZN47gvTfFkkVFuieNSWE3RGFSQN4bZfSi4DXWk7hYFjX7iSXEIO+4keVFk\nkoXYQSqjGpsmfvE2h5ytmTLdM/PWXWSmc8TDcZ5oKrhP1IXbSWrpfokYQFNOmEWYmpm/dnLmiZ53\nmBmnufllwlj0jjZUW2ldiPEUz0Y9oYqK4kzUxElYRsP3yG2INCRzRBXhSCYejGrq+nJmyIzTQSLD\nPTyaiZxJal7MF0qxnZYacseJkviWzLgdjsWiD2ZJpo7tWCMsa7Nm8ZiYZU0w5bML6CghXchh3fnM\ncXE97gcU7+N1oOKAZayNz3T37R9+zTFPPMPsci47nf5j3PGLC7VNLFE8vsk9v5plcsutNk4ebOlF\nw/iPq5nem8En83SOjgUjOTEwfDAD+tC3CFv5SE+KEwWfO1nPy0Yw5dLI0M6YyGkXMvh0cgpRQN5K\nkdGuwFq+Myj+VUruAPqXMKyD/O6Rb6bTYnzyKPJWiJv/MHFHpuN10tmUvJfirYyo0m1mWr9z1zF4\nCiMaKRpMx0Yqqhg+gnFHMKY/Reu1X7yRdLVBp/Tnvm9raUsxjLYvl+mW3mnbg0WW3zXZSSseYUTa\nZw79to9u/rmK0zr0P3e7/J+dH+n8QIetn+qv5RsP+sDG7xr69Gbdn1hKv2pbH2pEE+luTD4aZTxb\n7ZhP1Rtw3IZowhveGsen4BW++if+dxE7i0VmlvmEt/1GtufS+KSoaV2OEtoW0focw46InwbXBjpP\nEA/AMRRWiI3Ui1rDKfRuoLRCZJxNcextz4zpLIrHkN5MyXRRe9iGJ8ldRJIn2jkHi1pEh3iwvUJo\nZmeZKDmWi5IuCppxEunxolS7jfKx5HQTJcQSVJF6SnRedeA+Wv5E4UhsonKDyMwbReZ8BqkBcT2E\nGvJmxnqXN6EfDc9z9y2iVL+N8h0UTqFja2b9VIgH7YYM/cNJ9fIXrUZKZLD5sT+Fg8nbFMcnJ8Xw\nPLnT2uIZkiReWfw+2pqioLFmO99+2B6+Ln9LyNvH60DFActYw+ICXgtaP7nce+64WW6qk5GzuT8l\ntASbrx7G3N6+etH3LTm/UnLuWP43Yd2Rvvjdz8fAi88PpPtQfnhQXHsDDpVMPofKfgonnKzjvkJ1\nz/ThA/Qs267boJ26fbdO8RlD5fZ9UG4hOTkD5BVulFNwBLnz5LV1yClcLO99B1H+gpEv9Wddp5wB\nmyVHT5NMHMrFn+U/DsGh5G9DLTnF5I4k6SVnW6fc017jvmMddW83jeMO9+1f3y2ZlmvUpT2ZHiia\nxWemMLWPbk+MpqiQhyp5fi0vlxv/+QX0+Hf5J6aN/OIizgkahlXol9di8odf9J1rv+iCKb93zdc/\n7+uXfE3tkX1UPTzMslcPtvysEaoXDaXqf2jMddO/fs6Pf/RJ2770ACOn8+gY5Ol+5nbyCuUMPJFu\np3hmxBmOu/w5BqV5TwEFZTR3YgbNj4sH0QtyCqvJeYwR53JEJ0VHijbMW/EMOTNJejOkfzxgko3k\n5ouawXBmnsP0dgqf4/L3UnAP449n8Jmi5FvPpTPJXyYp7CAnn7Z15I6hY4TIWA6j8DSSs8h7id4n\nUrgQSyiaQ9JEzoXkNpNfRrJSZKoj8BLt8/E4BXdJSvuTcwr1d5DeiaNJRpN/aJQ8c2djdvwQIamg\n/WmSD4oHzPEiU89DE5MPEcOzdtBZhebMbxQsZ8cOf3E6da/ginMpuS+2Zykey+yOdvHjxYSyFIaR\nFOIoDrqIgnHoS9vtdAaSKkK5IXNW2lnaSxLStKckjxaQk1A4k19MjOt0xBX7Zf++3U9a3+04YG2s\nLt3B8iJClYr78pR9vs263BH6tr7inC885X8+fgWrtlG5gpa1UW0+tkhZ/1tVrDjU5f/1c98On3dI\n4Xzdy+s90HS6y/v9wm09zlWeajK9db7T+t7tD9su8MhNZ5g2e65180com7ZDUf9m27r1UvL9lJaB\nRbqv3Klu+Sq1K/NMPHaAreV99AnbLF00yZizl1txLX2nLFNfdJKCWR3qf76S4YcRNrNuLkunU7GW\nbjupzjXwm5PkVgYb5g+nF4UnNyka2yQ8kKtjQ5XWTVuEhhKKpjK4OO6jnbWsWMamnniMoy/n+QJG\nVpI/kplplrZRlc/ovGh73YaKdvoUKJ9Uq/6nFZxOyeZGnYcE7ZdUEp6jfDq9B1Az35BHx9lwaC1F\nmzi+gh5H6LPtIdtebVb06bNZTOuCTrl17dKzKoTn6uLvANS1kRTwb0P1L9io6n8WRI//IScxt4Gq\nXFJ3oYVJIzhmmtIjazVd3T/zcURB9LL3GxI/eDiV/C2rdTxRJm9ST4NnLrT2M5MY1EhBjhk3L/bi\nCzOV7tyu6ccJ2incQI9Olq6go4/c4wZLrV8qp7yn9JoxTF7Bc68pvHCOtrt6xOiPsoTeRSwvo+Np\n2vNjXUkg93C+1V/Ph19SN38rtcPoO4BxJRSXytlyg/Sa8fTIY8MmSk5mejWVD7NtJK3b0Y2KydQu\n45zD6ChmTT0zdrKuNwfXcX1O/KGfHovJO4TyMoa1kD8gfi9U1MqiO0RN6TxRQq7g5CIeXEX5oRzW\nRnUpjQvY1MaMo6gv5swNrE/xWLXTFlTpW7/N7S++T/3cFoNHvGrjttMUDW2UzE5puaaJG3qTLnzb\nNta5+5j3CAemjfWAZazdXqnV+IOePLScfx0rKUgLt+YyneMve9BTj8zW8ZMictaxeTlXnOyaY//N\n15//T/UPVev2/n7a84ulGxNFxzRq/HOH4qklus1/3LaJxxvcd7v+A6ose3qifhOr7Hi6u9rRffmT\naEq9ZzMra6INrfFPFI6jrS9Hz2LucwybzvZb+eFFXLlK0qeImX2EyqZ4FKdzeeEh0Uu7QOQehWjg\nvefySp1eN7aqWdPf2OMX2bGqh9R1RVJt9er+tCn+QMnow+i1idPHcudSmptpHUJtimsG8dkX+fDR\njj3iIU8sP9HsYx715K9OUDioVVFei0OmzvNcj9nKcnfoNrrBhhtGOvP02+WNaLNw5ySrRzVG2+BR\nR/PRifz7nUZ/YoyVN49j4VJm1tJ+OEse5tjDHfyHNXLv5dXVM6hq5tpHyBnB+LHsaGHTSqbVMb8G\nJ3NcifyhrTruWkftDkwkmR8D14tqGTiLgxrIHcYj6ylbTPk0Nq5iyFHUP0LJSWz+JX3OpXERQw5i\nQGBHX159lpIe8Yd0nIUHyYmMITrQ0mKoVZ1os+0vOsxaRM/5GjxLwWW0B1Ftr/cXRTXJIUwWoxkK\nUM7kIdQH1r4mquN56CBpIH80YWu0ubfWM2sSz2yidw5bOxjQQb++LGqib4q6Ukr7x/rrUxQnjDyK\nBS8w4pA4pp2N0aG2g2hS6CfaTlspPZemx7GJMSexokq0r/ZgeDd6FbNmCHXbKHrasX8aZX5ytPr/\n7RmX4+YqlnTnomIeb6R6MatHE3q/bcb68j7mne7AZKwHrCkgkWP46FXyPjmSVCI8lkvTEyZNXuD3\nDR+UNyMlt1uHZNhgycUn0M5nv/BdR5zyrIMntcm98X5nfuY2E655xZmn3MnI/srH7zTk+73lnZln\n6/S+xs9YqODyBmtKR2kY1930k56JTv0aBjzRKvfGcXKG5HPe5xlUgWUsSZhwNKOLSE+iJpfUBqHj\nLuGJPOZV8tJ2Fj9N7iSKqklOF1XhIrTFQJBJPdXc1ZO1iZrr+qpeMsT2qj7qKkbRrZxug1nfyDMD\n4u+C6K909AAlM8s4d7icWxN5Iw+Tt7rd083HKbmuyZNLT+AY2pbkqx9R5qn7T5S6K0fTxm423DKS\nw7h30VnuWvIe6zeP5swjuORKSa9xfCbQrbdRH18qd1S0QeaMPYyiThrLmbfc5qZBVh89MtK/uoRD\nzuKQiRTmS64spX8BdbtspS8r/FGH1IwSvj+JCTMpeoCC3pwzk6+cpez2Tr2+ViT/Y21y+m7gipNJ\n9+G7x3B8LtNHxF/my32/ohsK+Mgceg6XXDSUS0r51kmMS4mOqhS5/TM27pQYgTBCNChPFj8fHUvf\n94u21ntFRjuQ9t6is6pIDI3aHE0EFYdz2BAxIqADL7NjOO8ZLx6YL4iRCsMJjbSv4FNTY3xzUT1T\ny2MI1nFjKHuKyyZgKCPGU3Qwnz6IGcW0HM3PZ/GJY+KBfP5RtCxUNLVEt4t6csVUuo3EBAY08m/n\nkFvH7AKKarCD4m5x4dqAhMkn8G9H02Moc/IpOtGIaeu1NRQren+T/EWtcmeskUzP59k0Y0rlzpmO\n2/bL/v3/u431gJVY+x/2Rz175Ktck9L2w7PlfCcllZPr6B5/1vLdwSo/sUPT5s06k/dI8u6QqruA\n6cUK/6Ve2zfLDfj9Go3/mafoe4kzSu9WOX+UXhU1Bues97ONn1DQo0Wv1u3WPz2aO9IGjNqk7she\nWscX8Fies/71NqtKD1Izt6/q7UNj5Nvtf+DM86Mv6gWRf7Rh6QZKC2joRkma/mVxH07uZOJ2vn6j\n+DsQD6KP0jtO1vRCT76zg4oyzs9le4hBAsm2GHT/259SfhHDchjYg6ZWfcasln65Qs3yZ+QfdLbc\nkzpZtEG6z3Dly39he+pS+m2jvj+HlzFvu5zOh5V0P13jlnKGUviLHdpvLFNS2KzpZ91o+YPcvtOl\ndiwmZ4ijlu00b8ZW7b2PkqzbLsyawh8baMmVfKqUZYRl1RQs4POncNUCek2WU3Kn9NIWio/i0735\n4m84/Dj57Y/pqJ9A8wiaa0gvIG8yba/Srz/1IyX9O4QVi+hsY9DZfKEnX3iWbt2pzOHKUdy2Kf4w\nSeM0uQOflBp+KuvaaNrI5hdF5tokSpZ5mb+9RJvsSFGnTotS30Ei091JspDQR4wpL6bsbBpupmAi\noT855bT9EbPi+6STXovYfmpsLwmE34pOu6nk9Ir22rLJ9K5n1br4mwL9Wtj2GIVnEl6J9uDSQWx/\nlcJXKJ9C22JqxlJUSaqIVIqiCtI9GXYory2nYiHtB9GyirJxMbZ2ZxVl/0bDQ+K3/uMZWkb9aCqe\noqo/+SOctexxdYt7qzu4h6UfmyK9cwmvjuWoQjqDwvVV2pY+gMvetsS6dB/zTpCVWP9PUbX1XMsW\nnaE1d6JD0vOkWtp4eoNV449wxdj/VtftJO29zpde8oJUzXuo3coGcubnUM8/V/zMB79yu54/WOif\nt//SE7+Y5U8LPuDayz+royVP01d7ystNyetoU/iBVluahhg6oJJfbueRne564RztlSUKt3XGj2ZW\nLkEB9Wm+3xptmCvWsH4nrSvIWRMX/Y7nWf4AG2pZ9iAPBORTNCT+AIl8Tf/dkwWNXLaN4k5e3cgH\nE5JXWPkwt91EyVG0vML8B9jZSuVc2w4drOYL/eg2UMemQq1/KtW6sY/2VUW297+aaT0oGh03VQsO\n7q2g7kidJ+TqcUENjY3/H3v3HWVXdaWL/rdP5aSqklRSKZZyziAhITAggkgGYww2wRnndrcDTt3Y\nYLv9mnZO2MbG2BiTDBiThE0UiCQhlHPOVSWppMrphPX+WIX7jm67m3vp0X7c8dYYZ5R0zg5rr73W\nnHPN+c1vyrsvrSD0qMwep2wbyUmyYRCT6tg3yMj6fXr3T+HJFwUp7llLyxLGNQohFb97yxCGncft\nCeUZBm+VaxoaU3cnj+Yr92IwpVOkx32UimLqd9KynLY0x6voHEb5KVQdEZIZMe00VEQWsF+gdiS7\nNvCuqdz8R2aVM/dMsu2ye2fTU8z2nSRpUWnliQCeZtENUND3XS8FO8ifTuoS0c9TLroB8gnHxK3+\nWIyi7VEEejMR69z7WtLBUWxjwDCOVolugycI6/BBzKOwhFwP2XE0N3DkIJrILuHQGtLdkZu1o4wT\nKqjfHBML2qdyaFefj3YmtbNJpzn/ncztT1lg611op3UyHVmy1ZH0paUC7yA8IiqXzvg8+9pofoVd\nx+jcRstq9Y8Os2bEbM33VUvVZBkyg96OiB7s7tDTsE9UOG+8/f9wq/+vtouPU9FJU7366uFKz0k4\n97j8ezo07hhCJsvSzrjr2/sIyRpyx1VObOLktPbt/eQP6PXThTeaN/M6cz+yQu2h/fLf12vAWfUK\nz++2q2OSTE+RnutL5Xf2avtupcrJRUprulmd6O3Jt+/5Yexp4eJJyItZPPltkRylrYMrKlFMZjuV\nJ4pwlQMx4LRlPAf6mJ0yaTKV6M+hDE8e5HcbmV7IgeGREf6yOTHLqe0sWg9GNvnqVt4dGHwar+zn\n6XYaWjitJ0Jkj5ZQ30NXoPMYB5p4+TCPHubZdt1NI3R/M6353gEcKtb5ao3ebaUO3VnL2jamZ8m8\nEJMN0t2Gtx2gaRnyYw77mBk4P1rlzyPTzIHAihw93XQPZdkOOoYj1xfu7Ynv8HAbBw+zZoPo5xyJ\nUpJWTI3Q3vqpzO+iaEgc3yvPYGKKL9Tx1kUxS7V/AarZkmLkICaO4eoU4xuZlhaF6Sb/5gJoFi3U\np+Lf9D4yL5P7uShQ68VspW7R0qwWBWt7Xz/nkmokW8rwaSJQtx6z6DzKhPNEXPVJohDficfpbWBM\nFYMasIaWDpzNkPeIAP7RzMlDE91VohAkuikSivey6VnmjcNRarOUjyIbRJfGAErayN9BMoIPThEh\nYk/w9rNEN0Aq3lNL7K+R8V3mHzFw4WHD8/drXFYrsyLf5JH3M/5pRpDMLmL8ZBGx8Mbb/+2ogDev\nYP1DPttzNO330VN/YED/I5RP1Z5a7sdbPhszWhwTF9E0asZRWGDx2UuUHWvzzYYva1te6cyvP8cf\n327bjVtd+d7f+NrVX5BrS7n6Pbf48KwfKL601eS1q6QmZP39M9+SPq/AR2/4JUPztFaXU32QV/J4\ncSfaovGyqJBxqYhTPRa7W1JdrOzcDt59JZddzpwKBrQxo4y8a8jcLYK1N+r3mSbKh3H12ziJoo93\n8M1uVmWpOMjsQkIpg2Yy5CNmnLuBfc/z82f5QT0O0Zrin4/EoEhJKjIfNbSwfTOFRVSVMKeA3h6m\n5cc02g8m5t3wHONzjElROJjH9rHhOE+04gE/3PJZMT+/m9PK+VoeqZ0YGBOAFhXw6mq6mzmQonEP\n5tBeijIFn+zijI8ya7HyWceZWSSaz32+QAc4t4dvD+CP/ejcRW0eH4ipwElZwtWB0iyZWhoSpl1A\nQSoShVTmMY2qCxrk/e4MFTPGiMGcQMkZFJb2zfpCxr9X9G1n6V9N6XuRilyo3iNqikoxhHKcZFr8\n3UrCIjzHlMBJs1h4JfcNpbiWq/CNT5B6LfWVmO1UydnD/5fqBadgK+MayNtEMp+GFfHwlxIRlzor\nsmVVFnOkjOQkVu6nZm7MxisupLJIJIDYQ1sZ6QbCOB4u7OvvlTxQyFVT+vqygX+4KAbDHInro3iG\no2U1aobUy43JYzebD51O+cVc2ePEr73I8sP+uwom/9/uY33zCtbWF6gIGG17brzjXdWsKdA7dBHD\ns3Gh5W+PtGm20t5ESbnSXLd0YYmB9Q16e4uM+tIOBfu7/eALT3v4h9N19JT5x44bvXDgdEkSdH+z\nn50NE5Qd6/T11V9V3q/ZnbmrzX3ns6Y/vMXEkQc46UUOdTCglsEJpduUVfUwZVI0CIaV6aqZpeP5\nKp4rYnU/phXQv4hXD8eMpLKTRGs2T66iiInlvIzZiaqCFoXtWUkmUD4mohGKZ9DTyVQ2vDiDiQMY\ncmlkvDKQUwoIrzItcGkBC0dQPIiaExlWyaAKiopI6skv55yg+HCP+uKhakoa6MiPW1RHKJ3FxN2o\nUTdwD9o58RypgcN4JcOocQzORSv8oTLGDyC/ianPi0GflfTGLXRev1zcgR/roO04t/VDNcli0UKb\nxdbjMXZU3smQoSwp5NaXMUXYvjMKlNvzGNMTE4gWiEGbMQnZItZ26t97TPYTpdp2l1BaEtM7y7fG\nKH6YgUVUHyYZRDKTdCeZpVGolnTi+xjBgL6MK42Exym4mIIzCQ8iy9osW3Zy4Al+mFDeETlZftxA\ncU704b7m390UM9Ny40Xuj0exp4+wZX1UeN3nk5+jekffMX2pu7nphBI6n6Sil8w4Qor2TdSvinNc\nfbxeahF+G/2/MhSuYHIXf6oVUQOlHCzgzCpRo+4gU2zM0b0WdKww6RPrmZaSTO6hdzV3F1l3wzze\nMlBETbzxVpD/+j5v1vbmFazN42n7IXp9/Z/+WXp6AdcEqfo/KtrZS3lXdAdk+1MwiPrBHKz3dG6R\nZPMK009eqzlU2bNkvLC7wPIT5lr8xa0euzznlfzZbm16n0d73kpvTuXWVpW1LSqLjms6MtANydfV\n5jc4fPZAk4et5KSzuGh2RAB8NiNVPltHZT/qpiq6uIXMEMUXDlcytiNade8X09NPmkbd0GiFdrSI\nguVM+Xk9lDHtlpWspfGPQ/XeXKby6mOSsQVcN5y55YyoYRO5W4pZPpz6fbTuiMD0r/ZFbzes5O56\nXkjY18HOdSz/Jeu3cuvj9B6N/uCnEt1tpfbPHOPIuqEsE6nolNPZzY4tyLevagQeY+XDck8WU1xA\nupJJSWRSenY/L7VSvZG6ReIWtUcUEBvNmrnc4Pv38OUh2vdO58osCggviBifOexqZ8ujXF1A7y5W\nHSY7hcKtrC82e/SLdLar+4cDjO81+dOrWbuOJ7ey+gnKsoYeq1d8Z4u5/7KaKedEJTusJ2bClY3A\nYSrGR6jS9FYqypmzmPYVtFXwkS/x2XOYcDplg8SMrEGknyHdIYLyByl5oYVLZlN1JosbSPdGApqL\n6phazrA5GMAJY5l1DfcdJOwQLdl+aGdpk1i77D7q74usUsdT8X62EvJoW0vrIQxkYyGFaR5rYONo\nBp/PoFnoIm84uR2oYNsdcTx7axnSw6xdVL8zjvd9G3hkG8l+nEau1ODyQ3KDcvJCjvHHhefzWDxP\n0c0f8ykAACAASURBVCc6Dby6kWP1/iPR/v9Zy89/fZ83bftb17f6P62Z44ruYHZPsKAhXJL7bRh1\n+45Q8J2O4LKekLovHVybDao6gtL7g+Th4HO9wdDe8I7Nvw1m9gbrQrA2F0o/2RJSP8mExbnfh2e2\nnRyWd00LZm4Jhcu6wiPpM8K+3cPC57uvD7/oviq82jopvGfTLWHms8tD/od6QtF1nSG1+FBQ0hNM\neD7wSriy5xfBP+VizaABNwVfzAan7QimhOBLITgzBGeF4EMhKNgYlO8OCpcEVga+HbgtLOp8MNZ4\nWpALw9u2Bt8KIX9jW6zRNCQXjGoKCr8TzMsGM0KYeHh1uPKTvwzcGFzQHbgp+Fh34BvB6G3BhGww\nJRP8LhfMygQ3p4OLeoLJvcEZPWFi0+rw1o67Q/7e1vBE84JQvKI1eE8IkjWBPwVF9wZX5YKhz4cB\nexuC4R2B/cFbjoZT6/8UDFkX5P8+lN58LJRc1hbMD8GkTJD6QTB6XaAn0B34bUg+lwmpH6SDE/YG\np+2Kv53aEyJ34+b4ObEnGNgQBq16NRjZE7yjN/Dj4P09wdd6g2tywVszIbklG8zOhtTQTHB7T/CJ\n7uALvcH8TDh754OxvtTpIchrDhwNkhcCDwVuD/KeCUYdCNwQpBqD1J+C1HeCwZsDdwTJD4Pk5qBg\nX/ze14N+6SCvMcQc2zuD4tuDf8kG+XcFyXeD6zoC24Krs8GPMkHejwM/CDQG+fuD5NfB53uCwfcE\nNgTuCfwwOK838N3gM63BuBCvn5cJah4Mpi4Jkm8Ggx4KTlgZXNgdXNIdLO4Nzu0NynqDab1Bcmff\nNb8VpHoC9wfj0oEnAweCBY3B8HSIgNyfBhf0Bp/qDiZ3BnPWBoWbw7Vbvxauf+qfwqD9e+KzLuwK\nyed7Q+q6dBh5147gkz1B3neD/4aaV51lr+/zRu/1t/q8aeFW/Ewk2Djsy7nnPdF9tq0vTtNyT4kh\n1zY5+J6RLH9BxD49SPUpzBtq8Wcf86dV5+t33jFdB0qkv1FCF1c+9CsPJxe4reX9bhr5cXVfeNCt\np97MwYT1Qd7+jCG37tPcVeMP1W/1vdWfcbSkv5nN6/zBJVItOQ3v3eHp5q+4cMXDshV50pcW+8D+\nm9zxlQ8qW9fplLuftPTwWTp6yqRDgeLOXrXte+y5eyqvJAxrol9/fz/le0oubHf7kKscumJsJDVp\npPKjRxQ/0S71ubT6a0erGNOprawfnQzYvUfTXcPI/gGjmDmOtb9ixHmMmcKO9QyZSG8qbvPrROv5\n6Z1cOJZpOe5KcRVFSZee9Rlu/jG5qZFspaCMxmb9vzfBsU+vwwFGn8UnR0bD61PLGHFqX7D9qMEF\nS6QvP9exa1eLwZ+XKLxU6juD5KYXqFu4xd4L83ghTXu3GLTaR8igiNpaJk2LJVfKRnHBEO75BaPO\nZMp0RgUjP77dvhvGK/tCq46v9lJcyQOrGZLwjXmMzihoS0vfXhRx/RVdioYlMnfsk218UvlPrtJ+\nfZWK81q1rX2O/LdSHxRc1S3dXRJzB6pF6GYveurZnCcGvWagQf6Tc5VO6NF67UDufZBwkBPeRap/\nLOr6yl42vMzMs+gYyP76aD137IrvSWm0GkO92Mlz/Nnv6agYkn9RBFAn2E/hZMpLeduC6AE4tIbd\nW8SXOlYkuH2NvnI4/UawsJeK0fz+ETKHxYcrp2A4I0dKNDpz/Van7HrB2pIZHvjYuSo/klVz1zH1\nnx9ifM0Wa/5hDA89g8vfMNyqt/L1HVvY8uaEW/3NBGuSJHvE0GQO6RDCvCRJqkXm7joxP+/yEELL\nXzg3JDf3CrcUsHutH7z8U/+44Zs6/qVH1fWJT5/xr25d/SF7fzSBRx+lrj8L5rE/5cqbbvXAPZer\nvarBkcdrtJdVyTvUo+CEXueOX+IPv3+np88+zWUb7jXikZuEjy723pNu83Tb2TZnJzn+aI0rZ93u\n3tbLNZ5TRnUhMwtZ+QwNjdz2Hu46xP7+7Pw9H72Ku56IlHqX5bG0klEtrC2gdQthD6aROkiuHlPl\nPT9e9hsJ7X2ltC/KMTmJAY3ftbCnHrsiuPu8IqpGsXUrLVMYnnDvXk4aRWsmRpmThCZqPn7IkR8P\njTLhZYScosu6lVzWZnzeDmvrp6sK7UaN2WHVhpNkzvohmXN5+3TyA2ufUXLzPF3XFvHSg0ovq9H5\n5HyOP45GvnhNlBVPYXUXowtYtobpXQw6lUdf5mPz6Qzc9qTk0gkKPlWl98qumPKZdzhCkcp2MuMU\nAz94yNGfjaUqjxf3Ub49+kr7D6Q7RaqeibW81CXvMynZrxXHmVND+bePaf9EmoZy9jyLkRSPpPsR\nMQtrH17AGPIOkc2gM/I1VI/h2PFIMqNN9BNvERMEqv2ZP7W4jupTqb9HRAY8yglXsmgkDvPdLX3U\nhQNFhqljVFwSy3PnCkWEQT2XX8zv1nDadLZ3RJb+z1RHfPCAQh5opXwZg0+ifhhTMlR0c6BfRD/t\nOMrmXaTyyB3uWyVFnLiIlXfFvl08lmX5HHsA4/nAMJ4YyOxW1nVTv80l6w57pmyR1mVVcjcVq5n2\nqKaixXJHU1SlYt7EP64kzH3DgjUMep3HHn5zCta/pY81h9NDCLNDCK8V8/oingwhTBQZJb70104O\nfyqIGaCFDBhz2NCzdjOuRvPHBvhV4wd0tpVFZEgG6/cqz7TLuzhj2c7TdT1TYfcN47U/WMUasnlF\nKmqbPffb07mPu9reoeneQda8/QabrjqmJVtpectCv6p8n2PJIDc9/g8aLxtO+376FfLIv9IwENOj\nv3Lz80zZorDyYlWFTUw7g6IH2VcZQ53zKnh3MZMrSWqwmdwBERXwiJpDx2golvpuVuXPmtRcWi+p\ny8nr7WXPDnr70zuJ6nE8Md77//EXpk7J8NI67k1TtD1akZsPU5bEtzyWvP7pGExbGnhXkMwnf1ZW\nz/1lKpI2vRv6+e7kTxr/wi7zu5fR9a5YUuYP97M/ob5a19JyQmTh6tycVvjs4dj/ypmu/OdblGzp\n6AvyF/HEBrrbeKWCJf+Kpsjgd1sWlcKmEXr3lXOwIk6HbFHsaMdQpiaO/n44HXlREeQ3c/gVJgyM\nVvf7kD8wxmvOLpJ9ujjCzgYF6mh/uJqdAznWKUKeWsjsEncwPxP19iJGLiLbLCYFjCecwtEnyG0R\ns6fS8b0aIOJbj4uCeRTdy7i6jdRMEXVZyIKOiBL51q/7hOopmEhyVbz3gmGRilBGFNIT2VUWfaPP\n7iC1md3NjMrxchP3PE36QTJvp7KHnp9TXsifNv4Zhqt5X0xYyGVFJTAoPvN8otU7jq0HaOsS/di7\nmTuU6UXsGsCeJlKTXZV/h0mZ7XK7i5jJ0V3nyV2cxDIxI7D1KOHR17O2/+v2BmEBSZKcmyTJliRJ\ntiVJ8oW/cswPkyTZniTJmiRJZr2ec5Mk+WSSJJuTJFmfJMmN/+63kUmStCVJ8pn/6vH+loI1+Qv3\nvxi39f37NjFh8S+3HSJSpnSoR3MX2P6NGaQpPbfD1/O/pnRKV+QM79eLQu2bK2XLC7S091d1dpPk\nihwzguqjR2ngyK9HaD+1nEU8U3WGgtJOZ5//kN+u/oVbrrvQZwf/iz/lFpt8wWr9xrQwPEX+OI7v\nIPUxSmrQzecz7N3Bvfv1tv9O84sDeKaV9v4xh7xqMzcd4OZX2PR0H73dZDHIcyGu0jKrkmS33PV5\nWr4zwJGnhkleygnbU0wZLOIa97LvRao6/Orpj2vqOIwVlIeYujkKjsXCQfXYRMO36yKiKWBDTnn/\nNoW/6tZVWObqfrdRyrfbrrWheJo1NbMo7MVWFl8ax7qkMRpuh1JROHSdoPfs4TGq3nnInUuu0dVS\nEmXRNU3IMnYoeun/3lj9dDoR17mNzEvsz/Lh9r6X2enP1U+fK+RIQVRUS8XCeiaw8XBkZHoqzdod\ncUf7m9v6ipEm0Q3QgIfSHLklBtXMjxMms4vkFbETJ6KJ/e1ikc5hmETut+ID9Ii8rKPIezLeWwqz\nKDgU52D+KL59jFwQOXbrWF4iCt8zKBglCs9dhNvRxbMPUDyH1Cgxwv4i1kdUgMdpmRxxtT/CgH3k\nnYrFkXmrMaHf+5l3GO2xqsrlKC+n91kK98Wx9jzmROifGtzBSWWkfyMqmcFc20RTD7Oa4kpM0j68\n/9c2pSfLuzDNFspGHpR33b2SB4L8gz209/g37tk32N6AYE2SJIUfx4ExFVckSTLp3x1zHsaGEMbj\nI6I2/U/PTZLkdBFLOD2EMB3f/ne3/o44Kf7L9rcUrAFPJEnySpIk1/R9NziE0AghhAZR9f7ldgIm\nkP/OHnufrHPm8PvNe8cL0ucmfl30bqMe2RtZ2RaMY+LcaCBsYlS/HZqPVwvfTyhJHC8bKNWSVTOu\nXuEfs/p3NvpA0a3Sk0q92jDPmpIZZl531PWfusGdz11tduUqp85eKu/ATmp3U7gr5nt390cXQ/MY\neQazh+KtqhcfVvb2VYrGVig/q1nxRXUKL6mRNykwbgyTeum/F/nk7ccQwxv2UjBU9ecOKx3XbuKA\ndXIryZ2LYWWRk3XKeOq6FSzcYsrJK7QcGkXdZQzaSNeuKCtmdlHCgC83RLl1lQjLnMn4z25ROq1N\nW12ly995mwda3+4tJU+o3N+heVylM7qXRihWyTAO71TznQNSw9qUtbVGXuhwtuqZL3JxD8U7KD1J\n1dgjkikhCt9Xy2NYtzHLaWMobaDrSWZ0UzuBUbOYNos9+fz+MKPSYt2pg5QdoTYwJrB5TYRzTj3C\nhEIadnNGlu2NDN1Dd8Kgt7HiaEya6kZTVrI4y9grqF0vpgpPiA8eBovg4scYM5qwPM6nyu24m5LL\nKbxE3A7BiyQLRddBBRLST0Qfar9ahhdQ0cbANP3701waCdIn9yM9FQ+ImQ5TMIIF1eRVkdvAxdMo\nvYbWMfF+5ddQ0TcGzyccH8uFmViNoXs0rfvp2hAz2mZOip6Jb+vL9Cqkt0W0vBdiO6+si/31Vuq7\nqFgsCt4hjOqgPJ9HEnSQWeW62ust6PeiU/Kfpov2kmbZ6nfJm94rM6CIFztE3+9/Q3tjFus8sYrq\n3hDLUN/tPwJsL8ZvIISwHJVJkgz+L879GG4MIWT6zjv62sWSJLlYzB7Z+Hoe728pWBeGEOaIsO5P\n9NXy/vcO37/uAH7pBl66QeYnP3DDisW+ftk3lM7pkHc7Lz97imezZ/JYlgdfoPR43Kmdn7Ph+Jxo\nwJzG8Bk7o0FRF6RODkqubdZzaqnV+bPVXLPPnMJX1TQ2OVRY6+xvP6nnC1vVtu+3Z9hIYdyoGES5\naA7TzqTyJaoGuPDm+5l+MoNPlCp7VMfJ/XRUn6W8bpqq6w6rPP+Y3qElsh+az4wzmVtBywLsJ5uP\nm42fv5VFxapOPeKD195ke81Uo27abuTo/YomvciBhUwfRu3Zpv6o1+3NH3Zl5jH2HmfXSML2KKPW\nrmBs1oRJm9hC5amNUaZ8MLH9jqmaKvrLjM53/+F3GFZxwOaK6SbPWmfc6h0ezl4a89qzZ3HyKEcW\nDpJ7dayOvPK+hKDD2qrHRLKZzNv4fI3m+2uEE/L4gOiGzF9LeyPP3sr+rWg1/HMN0ZoeOFTSuSvy\nfU6ZxL49YibQBKa1Mi6r7Att1IznUKDmDM4+g2vmmP+t5/jmcCadZ/IfVnFRf2YO5NnA5CwT0ore\nEqjqZ+QFI0TB1kjBErHKwHiMpD5PZBY7QnkeKqNym1QpZiftwFwyfXjTGA6In1DPsRz9B3D9PIZ/\nhO+dRd0QRpRx2mSSQ6JW2CdmYq3HmZTfjy08uCGW384l8beZCRefgdH8uJf8DTxzlMaXGZKl+hjt\nT0Uu1pbDxly7iZpMxOlqFIXobtEq3cCBaXFeeZDnsqI7I41nqRzK2F5OzI/42MIzhNLEKTXPenXJ\nyfEyPVOUjmiXq36GVV+h7A59ht8bb3mv8/OXW18tmj+3A33fvZ5j/rNzJ+AtSZK8nCTJM0mSnAhJ\nkpSJDM5fFQf5v2x/M8EaQqjv+3tEhHnPQ2OfVpEkSa04Q/5yO/c6Cq7h+GSrv/xxO2vG6A2FutvK\ndDzXL7Kjjcwy6ApW53MCydacKSes5fspdicaHhvB3Rsl3w6KK7sUbU+ryG/z2E0Xm12w2jMHF/nM\nL3+iMVPr1YdP9rGXlzn+zUoTsttZEGJEdmlh1Kx5A2nOs657horqZqaRy3TqLS2mh6Y5A+UXZB1t\nronFBjLixPljEZdnxe1pCT7iA7+704mfXqbtX2v85HuflSrLanikTvOIMlLzyXUytcPU01+x5ub5\nTkhW+1W/uWLUqB1FMS6TFLB6j5c+sYgULT8dHLfV/4qXyd1TyHMp2SvL/XbT+7idY/p76fCpEbve\nk9D7OD9+inPT1DSQn4pcBQbKHKuMmynPcP+uuLafwjNr2HY3uRIxwn26GMDpr/X+Shfc+nsDv9gt\nqZhAfZqlt8Tgnb601eXbeeBRHTcP4KUVFKTZmeOmJTyx1stnLeIlyr/aYvNP5xj1sS30bmdKmn9+\niucOKP51F1fScNIQpp1K1VuoOSUiHIq6UcuC/iTvRRttRcx/TwwY7lkTXTQVQyjbzrTTxODUEUrL\n0J/QFft7fSbyc2/visQy2/se4/nA9DLRLdDOooU4EGNh7ZWi5TgKs9hxM8bwwn387HEs592/51gT\nrUNiccFt29ldQe5U1m/kUJVdF09h10McvFfUZDV9N98Xx/tYTlQqCzm1nKkp0QE+iRfb+PmvePLm\nOBnyHrQy7wTNodJn3nVj5Mne2Klna6HUoUXyv/0lDl+Lz76+Bf5ftf/51KvXIxDzUR1CmC8K0t/1\nfX8DvhdCeC3H+L+81t9EsCZJUpokSXnfv8tEjMl60SP4vr7D3osH/+pFfnu4j31/urOOL3VX7go9\n41JUvixJ52hqZmvgyEa8yJ1LhdX58l7IRkRKHnWjd1M6SHZki7EP7TD98AbvPPU2JYu7zCl5VWo5\nNeccUv/pMSryjttgmmlf2671n+u9+ys/kf/LbmYlffweO3FQycq0rnRJVAmpcwzo1yB1crey/R0W\nbXnOiSNXKD6zQ8HMnrgW5nZzsIhTC0VF+pTNI8c5sHukxW971OCz98ssLZQpLxB25+l5Oc3b83m0\nwMadww0aXK+oql2uN4gWyRFUxDUbUuSNiGttR4+ykS1MINWaUVDbo2Bcbxz1Xob126f9jHLPblgk\ntKOyk4JilMcc8We3kH/U4NkHcTKpFo4cj96qq6+m/PCfM0cloyieFwH4+TNFaXMislJv7/F477mO\nPjNUOLaXP6zGJDJFOEBhBlPJnxwTj8pHM30VB19AOw0dLM7y3GbVhYf56RGVw1tZlcfmZmaPZ9A4\n7af3U1uz39AtDezfTfUhUj1iaHtDnFpZkUNiylQGzGB4MdV7OWEcpzYyfRId3Rw5xNvnoprOPv+p\nejzHjhB12fSEynmU7uax/bEM+MFqxswldRYbi5l5QQw0peeS9xF/rkprgIhTS2JqreF97ofj5K2K\n4102si/I1snoPMoORa5hUyh7zU8/KL5Ms+N4j9ja9/8W1nfStrPvt8N4WNy6DaDuAooy6kr2yqXy\nPJx6K0+tVff2R6hNnPaJx41csy9WgLX8P1var78V/eXP0l5uOPZvn7/SDoph2NfacP+xZsxBMeT2\n74/5z849IFb3FEJ4BdkkSQaIpA/fTJJkFz6FLyVJ8vH/7PH+JnCrJElGi86nIGqJO0IINyZJ0l/U\nEiPEEPnlIYTmv3B+iKQae9FlwIF5mhqHya/vUv33v1H11ALbTx0UCZGV4FWSSZjrstw97h09kh8s\ncuaJSzy3dJGit7Q7NW+ZbEmiN11k99cnuuLrt7vxD9fHauLdOf60ljmznXPrQ0YU7vf4hV0+9HiD\nQz3D7Rs83DOfOU9XUqLkCy0uSj/kkS1v1/H5ckPu3q3+rWMUfK1H+k9FFFJS2qFrc4mKfq3aMxXC\nnDwpGbnfdbLnHhU/W6yjY6hcfX4sG93nFzWQivJl2vpPV97bov1PdQpKuqVDMevbWNhESy1PLYkl\nQGpHU/+IiEE6yGnvY8UGep6NlWgzRygpRR6nnsGKdZHOrgrz0/xiryjsC/WBXpXvu1j76Pv40UdY\n0kN7oYKjPdLth9hTKQqcNmXzjqv80nSHLunFCvpfTPd6LpxAQxUb90Yf4cE/igt8jyiZk/jA1SMJ\nJ9K8rq8PZaIkLMLZFPfwd4P5zotKb5mh84N7xEjXQZEQNkvJZbzrCH/YQ66BBWexrTTev/MuPvFe\nfn1HxMs2TKb917Eu17Rh7EzF1NJcNx84h1tepfAEWvqCUK+xY113RWTiv/1XHA+im2Ea7qSqLpbc\n6Z1P+0tUTqTlYRGyUUtqeB8a5JDog62nML+vSkGdaO1uFoOaXeKcHyoqhiIxl3cnJXPoekn00bwW\n+X9VjG6N7Ftma/p+L4vXKG2kM4fqWHo9/SeL1pY7d/LLvvjU9+QufJ6Jg2Ip8ppJMa/gpR/2Xesz\nbxxudeLrPHblf4RbJUmSJ+4Xz4yDZgWuCP9LGeskSc7HJ0IIFyRJMh/fDyHM/8/OTZLkIxgaQrg+\nSZIJeCKEUPfv7n092kII3/3P+v03sVhDCLtDCLP6oFbTQwg39n1/LIRwVghhYgjhnL8kVP+trRBN\nzyrpP5XxKtmXC3Wap/EzIzjwS1EZLRdNtkj/tu25aVS2MIwpg9erPO+I9jsHeuzHl1i+bqGGglqd\n2VIrsvP4Sg8P/YoHfky6mb08/uGL3LH1/R5Z9nO/+Kf3KCrodaU7DfrHep7eYUh5vVcK53rHmLuN\nf3aDjser+DS5e1JxTZTR74YjCr/XJntlvimfXkOW8Euc0I9hH5LNK5eanebZNI0/Zddj7OrgyQZd\nO09gQJBdkscAQmvCK7fQ9GKEVm1KKDgXbfT+QVS2vXgPG++jq4ywkKJBOBjJUro38/zdtJbTlI5u\nit/cgx2RcFkQ4wCTtS/rj6u4DxuKWHe3sDCFZgraxFzYsQoMVHJ+c9/4D+LYy3Tu5ff38tytdB+j\n4RFcIlpthWKgdibOpujCOOYaReV4GU4Vp+x+civ4/TbCs7KP5onovNeqkfbHpZFW8e58WmfQNjOO\nT94WUuvjiyjA9KvorifVTb9rcDJtqZgWmu0iW8GL+XEce3dRfHHfmJ5G/tk0FcfrpN8i/mOzaImW\nkSkjs5v2o2KA6AkxCWACyamEp8Q1/hYR1H9yX9XWRNwGvaZI7hGF6gB/hoUpEG2S3XSt6XtHA0SX\nS3O8v7y+9/GrvjnQJSrIQjo39K2fEZGz1XxfyH7P+mSa8ZM2UDyLoikUbYiv4MRE1Ljv/etL8n+n\nvQFXQAghi78TNehG3P2aYEyS5MN9xyzB7iRJduBmESP0V8/tu/StGJMkyXrcKTLx/B+1N3Hm1Wpx\nkg5iQnesZz+8Uf7RHZLyk6XX7UQ9BdNIF4tWz1kmfLTBtnsaWVDE8AVxvg0NPPoqk0Yr6L9C0ZrZ\nRp3TaMNN46jdxeYtFA3l9DRrKxhTatjDzK5c55FL5/js7+7ScrS/W37xLqYP8Jb+T2odUiXdma9x\naa3W4RU+UvVzv/3DeN176nS9fYakt1fFxA5l/VudsP9Vezvq9Awvsu3pqTxxL/1PYFWOxoNkBlOZ\nUDSC2nUUzDbqo9vsfT5fXa7LnnuGUZAhv4ym34k4m2NibaYTo0tAijn5rCoULZdedFM0HsX0HIvb\n8DlNUTi3nUR4TVBWiRCpOSq/mNbyvUHyfjVQ9oFODh9j8SwVr76g7f5WHCSZKzXpqHD7GcKJT/fd\n6zDaqJkXWb0aplB4lMNLMYy8KXGrWziH7DEKemOAKFseXQvp4gjxCmuwLkK8JteyJZ8L2nl4AyWD\n6TqKDKkOhr6N8RmODaPlEA39pC6qFCpTwotHVJ6yVUvRW1hNyeDtunaPZ1KDYcX7HXyonfecEeXZ\nHtEY7neQxwo4KY/+Tbw0grnLolW6NE19tSjg8mKAafxQXn04EmKP6eRohtayvnnbHvsYigiVfeP7\nYVHAvrZlbxJ3ZZeSbCQME8HZ48ToUl3f2C4XLd4joptiGH6CiygIDJhE00bKDjC+hq3LaZ0pKqC9\nVNTx8QnOfPcjJk/d6sc/+Ds+fxtnfYyjWQueftZL31zE1+5gwWReOuGNW6wLX+exL/z/CQL/w62T\n1DDslT9tMjNnkhsu01kuXTNL1N7jSK8UnfkpCp5QUtPJ8V5Ony85IRODNAdz1NZJnZySLTtHb7pR\n9r0iJdyGY2RnitlRp3PJCfSbrOFgnW25iT50/xKrzjzFtswIBfnlpk9b40N1N5tesVrZxFaZsYXC\noMStr35Q8+ZzDXh/GcMYfeV25XOP+fDkn9h03kRt55fY9vtpZBJ5nacaMLyC88dTOKOP5ifDmHxq\nSxVeG+zZP0PY2W3P2tEMPEzPQZrWixbbXBGP1j/WWErtQZqDpWiO5M9546k8QM8qelqp3IWD7JpI\nVaCqS8zlTIvQiR7UaNl7GuGgbHsNI/qxZrTUgm5tY0aI1to8Qq8TPezkac+IC79UFKwJR+rIO0h7\nKtboUkoqTW5jTK/sfSRWJa1aQdWc6K5I78BLhEYR8nRpZL5qP0YolTptNk6nq13MJhiIT3A8YfnK\naKEeL+H0AcoOtsvvSdOzSnv/k038zhol32rVVTg+yquttQ52zeV9J/Nig6Ff2mfQXfud85WH6a3m\ntEEUDuCOwK5f8uSp8ktO4si4vr71WZyZNLN2MuFizp1LRRfVZ+JV8htQ1MdYdbDvvGmiQB2J8+J7\nLExRMgor+jL0XhAF53rRYh0gJgCcJwrhVB+x9w6xZtcfSR+i4VXS5aQzVJxAeZ2oeJ+K41+ZxzNd\nunIZmWweVaUUTeXMoHRopxV3nCrVvxsTeGnZG1iz/0v7nw9e/Y+2N7FgzSO3HD2yz+V48gVWuCzB\nywAAIABJREFU96e7hY13iduoLeKkq8BCMo023deN43wjCD/Mi6w/I3IsfUTu51VyE1LS69K2fGoa\ny+8U9+9P0Pkgj23lp7/mqV/LPlaocedQyzadqfmpQs9dkfOxa79nx5kTLEtOs7L0BN/o/Cdt11XK\nbChR9/7twvZ8DTdWm9Rvjf3vG+/o/bV+3fsBHblSE8u2GvXJzVzaK5t/XMuTrfzsu3SspKeA9inI\np7tY+o4iShg0v5KOahrW0LNTtG5GYW1fRteA+Py5OoymaSf2R+xmdgnt40R3dl4Ef6cro3XXUE7r\nctGyHSUK1zZs55EN8ouO+qd3X6dwTEL+3aZNXU9+pWit1VJZbWXrPJN6Nsc+eyH+LbgUW9k1iOyD\ndI7AUXJHCPP6lOBZGELjTg5/X7Sqjomun80iIqaeMJ6G1YTfyN2wR/Qh7hFB98PJPUdXA90Z9oyl\ntcGgM1dp61ep5lsHSM6W/UWebY/M0PVERZRreaKLdsImvh9Y2OvQ90c6/P+M8Pgzb2VhkYKLe+R/\nqpfLJ+ACWrIy99xB5nfiVns62unqYF1ZZKoKKSxg7xMoI/saOfYKEZtW4t/SqEaLJSlGkfTSNbpv\nHlf0jcUfSY0QIZUHRFfhy+L2fzKhW9xldKGbgjEsnMPoOgaVKPrNcSpPi2Pkijj+GmkptXznhQpT\naUOnvRwpHQ/R+fwqle88rHhgD3Yy6UP/W6v0r7b/ywXrm7jrQVxkw4Sj6ygaRno9zfPFLVHGvxV0\nG47jhBOl28ZgMC2raSnGXtYVIWHvo3yYYBAvP0jPYBGYcAq2k32O/PPp3sqXH9fyr4MVTd/n+FXn\nuvArj/nhly5gRKk7/vheHcX9XHvWt2R7831s+I88veY0xh2ReSml+3iZdH0hqwo1bxmk/QMlGuvq\npfsXeO+IX7rtpYUyGnEGuZWkaun5FWWXKB91XP+Zu0yYvN3zNxdHbOPWEnGBPS3yflZGLtY/F7+b\nzYfK+MURkkrCK6JA6xT9mwejHtJD5vZ4vumiVdRXwTQ1m9xgOnbJFBV7tPUCvaWVkqTMkNbD1u3L\nI3UxqXJanpUbdLIlt+VhFSXvoquR0ExRb/R9mk14UrSsE9HKyvY9Q2PEVqqJz5M3gexhDCDZRNhF\n+9DIYdtbQftr+NKZogB6Nb7/3CBM5vjNOEnbHyeysdGhb48iu46jm4XfXhbheMU9bPoO57xfv3Ud\nWtMb+PYmxp7FKUNjvk1tnvSkPH4rltxJHSCzk0z/vrF6Kc61om56XmVFBfIpvJzND8Rx1ExYKmJ2\nTxdzfItFQTsA91B4Eb0/JXcOdlF5Hq0FhJcwkFxGJM5u7JufdX1zfl8cr9ITSB8lPYrSjWzM0XUY\n5Xq+VE1Ds5ielovnHUgzZ53spmHq3rbX8eOj0aG4rVF3x2QtR0sk39iNEvav/N9bpn+tvYklz+tp\nb2If623UnENbk39u/aWlvafbemyKg1dmJGeOk93azN68vq3LcWZdQFuHk9+5x4vLRjNsZEQBHWxk\ndA29XZxTqu6s7Y4WDrRwwXMeP+l8yY+6hX/sjL68zw50+pAntZ1RatUT8/Wf32hA21Hb0tPVLd1p\n75NjXV5ymcJfnGZuar2vPfkNZ5/zsAdefqfc0DznTn/A+jDTO7t+p7isy+HOWn96/gK72scrru/Q\nvaSEQYkfv/tK6cUVPr38Zn6ZUNXKA/2M+NxOJTuP2HvBdMM2HbJr5Xj57+g0NrPD1lsn8sCroiKp\n4PyLWNKEXq6cycZutf9ySMNNVaw9yqwJMXaxqidmTPbP6Lm+0fhbO3VVlzvwzVoeugtnMGwnC0/h\ngUMsHs0jnfg50y9g3Li4O125lYdL6ReorqFrPyUTWXOLCAPqgxQNO4Efpvh+wtEmNreKUfFj4mI/\nF3upG06uif0viClVhaLltomzPs+GgiiP9v6U5z7M2a/QvZ+8YRR3M+c0Zud4sSAag5NFfbETL9zF\n8VqlL83ReUclpwWeSnhPLx8qVDC3W7qpmDMpO9qiY39lPPeHe0XLuFhUBKONu7XOnsljZH7RxW2P\nkh2Lej77doMmbXP4wVHszKOpi5osex6Jta+O7xWDcXtEK7U5nifXN159pDAGia6NAlEJPo53oosR\nIzmwjbAfjZRdQEcnpQPo3Nl3/j7MZXwPZcXUTWb782zqjO+2fD9nlbK9Vu3t+1w5+zaFK3NufMf1\n8n/ULbkxkflKvmHD9jowfWWcW85/4z7Wi17nsQ+9OX2sb2K90cKRNqRcN+o7nB2oTtjyG66ZyFeL\nxfzGichny8Nk32lHYwHLVvG54UquatX18mDqM7xyXM2o4/Z9eZwwN7GiciFJj7DwHsJMxoxlOEuf\nOCvO/8H0n3jY2LDd007z9flfdvO5n/bHTbeY//6vmnDtdj++8oO+6EbT37rSnPbV7my5Ssfv+7vw\nXQ/7SHKz8/ot8fkLvu7b4VqTbPbIeZfyQL6/3/cluXun89UsG28jaeGqv5Oa2uzgzkRPd5nk3F6j\n2rfZ884Jtva00HNEtP76oslLjvlzRH3JTsYN07AdS56M1HwHBomR46dYtkBPagW5Pbbf+mE27GL7\nXbgat0Xf7O+exZC4UagoMKvpJGveNlZ+S9q3/u6T7vuX+V74TcLxWey9y9B5Vyp4ebO9qcVi/kce\nUszo4NIVpHb3WcxTsJPUubH4naWoo/lRwsB4T/39uYSKYp5ciX4kOwgf5oo8uhtFy7tfpEVcFqLh\n2rOcwuGMHSZ/VqeCj/foWnoFq3I6tyQGfmef4nSXpuKhunaV84OsdKqIV+LwjJ6xy8ZxE4UjpQys\nY8ZIvoJ3nMPdh+z4cDUXlPDwqj42rA7kuDk4cl0VqzudvW2ZJ06/iLK1bFxAR4GoSAbG8TdYVBrj\nRRTAJtEl8ogoHI9TfArdL4uW+SvxPvsxZGacvxrpWIP2Pt91M95HeTPvncxNqzhjH3UTlfYM0rnp\naOxne4r2wRSTVGa9HBZ41/B7aMkZe/oW+18dw6xuR5fWiBZ2zX/H4n1TS57X097EPtYqMSCyWsGc\nHv2aW0gHqfxeqduz+KPo2ztKUSuZ85iyR830oxQWsD3R9fOqOE9fzGfGMLnmfNXvOCopzhmXbOO8\nQL9p2Ev9dr4r7pC3YAitG2ssXb/YF91o3Zq5hr2wx32XX+hbDz3qZ8+92+PZc3T3FDvUMdSy8BaZ\nowX67Wrxw8q/U5bfruexSg+kLzG5a4sDB0cp2BpLjQxPyg2edoCKFKWDmHMZRcHet41Tdrw5utfy\ngsa2wTFXvGwG1Vn8UhSmx7GRgpPi31BK/3qeKGJYIbIkd1H+mOjfa2VkXWRp2hyYOpYrF4lY6RNJ\narGJ/NUx06r9aWsuWMAzLbLj8i05foGtvWNEq/IZklM0d61y8Pej4/+dI0ax11PQFKupjh8XKfps\n9v+yd99hdlXn2fB/+5wzvc9IM9KM2qj3BkICCVGFaabaGBuwcTfuX+LuuMaJSxKX2I5xDRhTjTHF\ndAQIIUAIod67NCqjmdH0Pufs7491ZPLlsx3ntd/3jXNlXddciHP23mevtdd+1r2e537uh6uzalI9\nGCS5j+iswGhIzg4G1JasgEoVjlKQCvWYrAmI2YDX/JDt+BmJx5hUyKgSYtJb8/Q+Uc4LMfesNOyq\nw+akNji2YbTe+4oUnNpu2IPNAUR2hds5VlQtvrOQ42laD7J3kKEhvnArW29lUhy6PTkrJJMoQoar\nIpWHu1gw4Mm/vyzY28YeHKMoTWpS9lnVk8iKpxSPziZlZAVfUmMErmovA10CbB4lXOxcrOfo/ULg\n6qT4S6HgGhiNp+maw/d/Gp7xhrM5lNCzJhYCnD/DfvK2MY3Tu19QPdhoVdNiOh63859n6dlYanBv\nmXhYEo8KiPnP0P60lNb/8u0v17DmjRWi1W0WXf2CuisPWjT0vEzhJJnO9pD7Pe31SNO/ntM20dnt\n8LYTnFHMQ3F4ge6MOZ5hw5Nafp104pFq8eFdjj9dG7KNFpxGzVSS06jvlbt8jwmnvST5kz599RhM\nO33jejM3bhZPjnw1/Wk/f/Bder5c6YGbJhtYWSJzKKlod68r9z7gnMlPeXbvMp2vVsq9uMP1O+/W\nvL1GefsJRXEXp8RqNxw1/c5t8mf+mlmvY9tBXug06tpmPUV1Kk45bs+OaXoP5fHoILPXy6nbJASa\npqGFyaMZfJDJZYxpJTNaMrcx+N3OrGfhpRJLKhi2mGpKZu9i0kiTTv8eg52qupICkmoI9cNMJj2C\nf9kqymuTmtnKVcU8/KRp/TsUDHRz7qmMm0/1KXrKxsqp6ycaS85x4WUvCzqt+RsZPYHSQkEq4knU\nE80nmkW6Q6Jii0RZO+m1gg+2m3gU1jC5hmTMkhXYLXVir2BMswIrw2NGzuKUSjo6glFc32pU/UEe\njxjqY0GJ5reMsvyu1xu6s1DRgk693yjXvJecCT18czm3dWpeVyM6PS3RErO+yOicNcbd9AhjFjDj\nExSkRXWtHJqNFJlucieyermWRBXPDQ8lzCccYX9+mI/dG0LVXmMEdkBW3LvrOIMpwaI8HoolOoFy\n8ncKKLREVpuSskkCou+m7AyBZnVS3rBAYFw0cNlclFLZIFqWUTx2r7BoDuAFmtvI6dWfGDIpsdsL\n2xZQu0SORrk1Lyno6dC/OR+1Qdf4z9H+mwev/nINa/92J7c7qw+doXFUrR1XTqWnkpwq+qex7evC\n1moCW8v5qwUqRtU69a8y3NnNUIamV1gWkT7PqK91Gnf7Vqn+evGNA+w7jTFJCibxuiLemS/1hSp7\nRi9U8y9H5B1Lq6g54VOjvuie2jc6fsdIz79wvqcXn2lPzwQ+N8vE77zoyup7dU0s8PKw0y17x8PO\nHP+MJfOf8Z3f/LUPr/2+NUWnWH33Um0fqpGf32f1uQs8M+UClf8wV/Lvh/i7xVI/K1X51RbvPvBp\nRTM6VJWcMPPbm5V+skveO04zOPl1gh+uGQ2cehr20j+bm6exICl9/XzmzuWGJTSOlnnDQib10FOp\n86ILefsYu979YdH/k6elL4PniS6kajGSxHuomSrum2noB7fyzHP8fJmfvut9ZhS/zJmT+cBZlBSw\naIre+0qJjzCYEfyoc7h6CmWzWTmMvnmCERjAGuKNxAcwUSaeKONVwf2wBiPIPR2FjJjLtOE0nI4K\nQzfVZ5/zrnBcWyFHl7NnMpefTvv99FU4tLxeYt6gaGUbTxyQ+Ks0G2IupXt5qdQXe9j/qsGPFzDt\nXG4sNOfABolMRublFAXlDn1mgf0f6+NgP1tvJs5R/c6uUKDRc3iJgRYuOIPnhsgfDG7ZV06qZfUI\njt5qgc5Wnx2Dk9lSWVqTa4WAVDsmMbTEa6mvW8N/20cJ1qeAjm2B62qDQDk7Gn4jcyAkiitgPznP\nDOg6dHYYV6cjZvsiVhbojqutSJ3l2KaJnLjVwC1DBtfO0b+6kJcS2M+LK/70d5f/9ob1Lzh49ZWA\ncOIirl4isfawzMhWNjWQUxHoLn37hIj+PqIN1A2TrL9M+oX1mEHckBUH3knF5KBl2riT3Mlyrl9g\n8Oc9QedyqI3qN3FKflDo78xwKCE1b0ByMK3/hgK5z/a6evE97rzjbS666X4rxiwxvW+7vrZ8cx64\n34L3Nfv41/7ZyI4jpn1jvd1N0yV2DzImadexKd6/8JtKmnrMHvOqGxb/WOZdwziY4fsPMfcU+WV5\n+uozSo+uNvQ3Z/tK/Sd898GP2vfZqaTvZe+QQInKCNVFZ9Cyi2H7SEzhgiXMSvC9nQyNIt1N+wn6\nu7Eh5PX37OEt13DHveTUkJxP9wrBaO0ndRZ5k+m7g4+/3bB5R6U+84rpn8+X39DgkZ8VBmrTuGJR\ne7/4rlmc/0vBiBxGTMGIwJFsOyTQhFK4RLA+xwWjUiDsxfdkf3u0gEZXCX7WrEC0KvyMYVNoKQtF\n96SJ8oibUUKyhHQ7ua1ceUMQz9mHZ/ulcvYYunI6TZGoKi3/oV69swuNWLrRsU92k5nG5RXy0r3q\nPnrA3k9NC7ZuHroHuHuIwl8xvIrdTYIbYjvR2YHMf2oRO4/xzinc2k1ykKZfkriEgjTdDwnpqoe8\nxopI4grKcmh/Tlh0ZqOHgiP0LhQ0XPdScimdv8yORZ8Q5DsgAI61uJaCchZ18cxjVFypYkeP1rEv\n0zudqJzUfqqGKD5FyY+bLD37RY2birwyt5IbT5e4d5vkS+NkfpyQ/tYugfnwnj89eHXjH3nsLX+Z\nwau/XMTqjBCEifpMeuc2JV8r9varXwxbxAm5QQm+bLzgw9tN3geNvXaU0oV7OHMUy3byvinUFzFj\nHDOmMGeKxD/dIOeKAvPPX0Nfrmnvr2fKJHnDXvb6b90nb0yP1135iJwzB+Rf3qtwbIeCnnavW/Sw\nlbeON+zrhxif0XOwwpjfHLJs4FmdH57pa988w5kff8D4i3bJPzrkDaNvN7V0u33r6pye+5znd57l\n6V+c64X7lzrtou0mNW+TP9TJlcNUXpzSd1kBR/KV1eUp1+qOruv0byj0prtuk3/BJcwaJbzxA4iU\nLCtGNTPO5B1LOZAI7rTZqNjOtQc5p5PFVcw4X8EVY1VVV5l4+R6F75nOxb10l6IgqFopDEIpY1+S\nqLxE4cDzWlcUaz91vOM5VQb7yOu4VNWn+xk7VVwzIOdEn/DCb8UVQa9hwXjmdVGdQ+kbBKXmvULg\npluIjh2RGJEvUZ0Utr255GcTDMxi3lIqm7K+1RoFb78kGxkvRTsF4yk8lWE1EhfUs+RSctPs3sGj\nkdJh20juk7l0orKJLRwgt3m/3muK5VTu1HlYyPxK5lMQ6a/Nd+j5MeR1s/Cg8hH38/QGZm9ScGM5\npQsoniDwSucT7ePUrXS1MjOi6blQaru8RShlfZjuQ5hLqhLJUGJcid9SztrvFJBsT3b8hug9LPhF\nJ5L7ZmpKBMSbFCgej5E7QlhgL8EKopc43o0ahr+q9W/2BcRvRUgeGcyjKofUAImULiVe2XEOY0Yy\nooUzeqRG9shdOBieTem7/jyv7/8g1v96LSDWl4UXcb+6+AzJTMaUxA5PlvRR+yZ23o1+or6QMjiu\njrIlzIyp3MNtxaE8dtcrqGFRPX01QQ9kJlPesMmOWeNCGZJTy0QzMxZ+dqW8/F4deSU2vG6hTCql\n/i2b7PurmYw8Tscao3dOcuj5yUrGnZD3fNo51z+i4x+G2fXWevH77vPOHx2xKrnMC4NLdB6skLm2\ng4LSEHza0ca4cubn89cDvJLLx/FOJr1rk11Xz2LK0xTPoTETgjIH8wND6a5VPHeyQN0AZefR/iwX\n1lMxlhrGfnKHA9dOCUlUo4XA3ch22mImlPO1gzw6JghurO/ms9/Gexl/kL3HBDSUwQjUBkR7eq5o\nekaUapGZVRMe0N14pZNxCTbfLxjXShxj6nt5W8S+Q/x0K+nRAgq6XEiDy8cRxryNxnX0Fwk6i4fD\nb6oSkgCq+fi7+cfbuek6fnyQwXvDMalLST/IsNcxu5fn1xBPY0yCC4fxg18GHYDLP0pXC70ptrdQ\nXk/8JPkj2TmMscdZOJuKHh5qpracrYV03iZspWv5yGT6CvjhAa8FkFIoJ7eTgayP1GrmTWXdXlxI\n9ALFi+lck+1bN+YxfCRNewTEOVXAPvWCcR0pINsDAmugXQhW1QlukCj770K/dQklFgVD7kD23t6I\nHwuUrcfDfBl7Ogd+yl3XOuPKDTqOFNk8cwQLetg82pJVL1nzzTP0/zAp+Gav+9MR6wf/yGO/9z+I\n9f9waxdC1NO0HK0x3h47904PlJ0zCaVLzxMMQS+ZRQEMvE0QB2q7k+lZmb3kHC7MSu1lg+R71k1l\nUS6dOWx9Ufxki4K4x6qnz3JiqFJ0TWzYdw7Zlz9F7lPtcr5dRO95WneMDLvmnH49txY6w4vmzNui\n/eVqhb+60Ne/fpnVyYWmV2+iOeITVXwrh6+kySlkTELiyl425IZg7xy0sOuts0KcpyjF2HKzPryX\ngkTQ8HgCR6opu0Yweod4F5SxKi9sfWsZbMwJ73ip4PI8iLs6yBQF3ZCa4xwj2jbID/oEOtABTkxh\nxBKhct0S4aXeTPE+idyM1OEh59Y9wy2CPdiN4v1MSAgyu+cJvMx+iqPAIrrzaZLjhG19rUCzGi9E\nyifS9hi5hwQjtUhAtFOFgM97kOAHvyZuCXY53SEIukwg/SJxP/1JUt0kZ5Bs44bRCqr7JStPYClf\nHOLVFOcl5VxZxRewfySDU/hKIRWjs9OngLMrqT4ehLudK6DEV+jKCfaqICGks7aFulV+EG75uvzw\nHFSwdwZOJb8wfNa5QjCAM4Xg3lqanxL8oymBAdDuNe2A3ux/a4UF6DRhodkeBn30LLxMXpGsIC+Z\nlYKuxhbK6nh3PkWTBcfrm5HH0FYWX236xM1adldrbKsJtcZah5N7n+dfWqY/USS4a/69nvT/Yvsf\nVsB/1XZy5T6u+ESPw0/W66nNpf8UntiELroPEk/AJA5+je5eJTvWUVOJS5gdoYT03aw9QfpYMAzL\nya/tZOsQf5cOBq69wjMPXKRob4+G28dKfzul+aHRNOcaWF4uk5Mn9b6ET838onOXPi4nQ95Pum2K\nZjl2Vpk5w181Ojrk8r9tMP3m+1342NM+dvFXzC15JTyF5wtYWGrkZ4/JHOmz9OrHgittrPBuTRSA\nza5JKs5t0ZNbxtbcsAPswEA9Q8cEazmKl5rwBGMLgpvyHo7cOp6GhpPKfmEX3rqNgzsDem3L5bvE\nlbkczRUM2UaiJzn2criR1ASi+7ignupKOeMHFb63x3Br2b832IkpRyhvl/oOwSkZ1JMYG5ICErsp\nXUSqR0CzB4UV7bhwswVBeGYoxlFSewQDnBRcBcWoZelootzAHMq0CivmMOJ25NDxFE+UkCxk9GQe\nyDc0vlK85BPk5EvGGX5QpOSafoMHykI19XfMCMX6eoskrotF56WN/ps9St49pHRYhreOYFpJdg4W\n0zsQ4k69J4Qc/mYy+6k4gxOlgdr3nirqS6nZmZ2zG7P3eFRAo+XoJjE3xAzMpmxxdizS2Qe8J4xV\nYUu2/88KhvZQdmIkOHSQ5BtDBqLJ2e9P+qsXU57HSzkUlws7iCfDeE2czKRKQ0q8ffqPDB3KJ9HD\n8OFyR14kMT6tfFFLYMY48p94R/9A+2/uCvgLNqxtgk8rpXnLSLu+P133kxXkDae8GpfSt1GwisU4\nh8vSOhtmc/8hdLMjTe5czOflwxwbEebiql5dDRXMP8TfNQZCd9srrKF9ZZW8krTEojR1Q2rmNKie\neVTtiYOG5Ll453KV446bOeZVqaMZ92y+wcqt5zg2YZjHVlxl39B48acme/ZbCQs2v2jG3A3+eszf\neeNHfsEIjj84gqY2Xa2lvJThZw08tiaUZ97QT3mb1qeqHeofK2dyP5kBGtJULw8LiX2hb6uexkI2\n3xV4lv0Z1vWz7zgn2ik9weYeUrNZ00vUETiU8zJhhzgrhb7AJ23NCMaxNltupJAjsyguF/Uc9o6z\nb9almsZ87r+f5TlyShplnsoRDGGDkKo6yIltrKzm4lp6juJ2ElcIAa75RBcTDVG8m+JTsZ+h/YJh\nWS8YpgfRFOhfcWm2Gmm1gBibQ8BKE6efymkF5Jczj/z39xqsyZVpTzBmmvS6XFWTW5TWn5Azq5eb\nKb2ojTExhxIybSXiOQlHdo+TX9ero2MKdSlurKJiGrVnsToKu/jUaJxBqh0jOP9M3pofhLDrsGQC\nNTOxjr6+MIbGZOdmp6B9sTaMgZezuq1bSEwKfc+fgCJ6JggwekDIrT1A3kVEw0LFiPRjZNaTzFaN\nL27LahE3UVTHrFiirFgwvDlYGcrRDCaN6G/Urtz8yWtIDQ9Ae2YXiVjJOSdI/8AfWZnkP27/Y1j/\nq7ZFAtLhTefdQiM9HSWkV7Jni0BML0UDpb1o5jttzEnStwK9TMtj9iY8wDtK2dIb5tr78xTUdHLf\n8JBbX5RDdUN4b8fT86timQ0ppQs6NKZrnXL+C1Ij0iaetdWvJ11sSmK713U95XOn/40zpj0jlTsk\nlTNk3pQXbdk/2zmecdePb/bM+0a7ZPpDorEZzzcu5RrS01McqbStZwYH+wJ1p6WH6l6KmuSNb2MG\nI0YcNOH9O4MU4KFEyKCxU6gYWC2glBJcEoSv50VsTTEr5tgjIY9980uBcjZUR24hbS/yUnfYjbcc\nFwKEWwWXSwY5jNlC4hxGj6AkT9+m0Y4k6vTLBmFsxj0GT5xQcnWLgEhPirTHQdpvbhE//r7flgmJ\nBqmYjt8Qd4W/9ktoP+61rW+hsPVNCjShUfQPx1Vh86JYCHLNIF0VrvtizHkltDRSX6L/qbww46dj\nQUQd7bkVDv9igmWfeYyP9hs6NxNszm19Ck/bYvK8TdJjSVX0BYSfEhT55ozkLRn2x8HtOPRwGKOh\nqaFfB1OMy2PToJIbmlhRwciXhYKhG7PjNEuwXtkqAaZ4TVHsDaGPmawCVd9GSmoEbYEOwSUzPJzf\n/yLxFuKeMM9FgfWhI/jSE2eQmI/YrJ+slsknoNX9WEz9RFJJwytPSBqy6viZDN5FK4MVdTL5SUW5\n2VI0fy5r99/cFfAXHLy6X6DWLKR4gHGbaagMdZZyu2kaht1E1VnFn1K8xIRz2NtOvI6KS+nfHAKv\nE1s4NoqRdexdyUfP5p/2CPnro3GIeVdxZDfpQqaNkb9kUNn8drPe8IrWY5VqDx/z8MYrfeXMj7l5\n94fcHl9n6S9WGXvLdsv2/8aPL7yGcUmV5+eZ17HO6M/uc8tnX2/BF3Y7PbVabtegFaVLrTmnwaiL\nczT87DQaduAIdcW8YSnPHWbGXPO+8YIjPxqp8Rvo2YhiokLi2QKfsjKcpxvD+fx5/O3txCOzfUqT\nM5nBLYJfNuvrW1jIkQ6OV9O/htRpQbIu3YSpFG+VHJrkil/v8qvet/CO5Zau4tX75uoAr+PcAAAg\nAElEQVT6wgCZx7GQin0ST58vM+9BohLiQSHl9lZcSkk+g+309Qj6BqPDvRYvo2t3QGB6iE+i3o7s\n0+8KiDYxjpyiINKdu5iBIcF5O45EWVD+V0wiQ36KzKDy64q17RhBfwHVebx8jDNqFM9s1/XcECvz\nuaHY+AuftvdHaVpP5YYKqfGDEpvThp5MSY0bEldFBrf3hyKA+49xoomWk/J/MwTH92SK2oKO7mkz\neXwlo5vY2Sj4b9KC33lG6FNJD51Dgl/7qGBslwpI/bCw4lcKiDYtOHZHhz7njGVwYTg21crQwex8\n76RwEhVz6Ognk6vo43m6b1nPgb3Zsc2jsJZr5jvzTU+ZeuEe975wntbFrUpunK3z0a1843SFr3Tr\n+e4aKkbSOu1PD159/o889su/O3gVRdGF+LawVP40juOv/45j/lmQt+vGjXEcr/9D52arA7zba7X2\nPhPH8WPZ72YLlRRLhQewII7jgd9333/BiDXUUBI/Ru1YyuZyVS0Dx4h6BKJ0B/FYwX91HNMobwgq\nS6pp3UdPE+Xj2TeHkkXsbQlb5zn1gtN/iqA2v4SN7cEdNrKC3pTB5hx9D+R56luvt6t7ut6cApkt\nCcNKmh2fXO1fF18v/8pOU47tdsm65ygcx5zhTnRXK/hAt/TLub79j1+y/6MjbTsxws7hE+y7bRLH\nl2r46RtoaBeQ2GQO19FYQlUuhYzsP6ps4AmGHRNQ4TDiVqwiL0+AnV0CqhkVakKl5jFqTOi7cxk8\nHsZQj9/WXFod0xLTvwrlZEpIDxciMQfoOl0mZ6IXhy8OWWsqnV3ytOjYMTJ7cSmp4xQOyezO0oDi\nBsFQPCBUCaiicxV9R7K/expRN1J0rcaOsJVNHsXTRM2CcWknORT85ulH6R/CkezC+YzgiG4mkxHg\nTlOQluw5QV+3ttwCasr5eF7ozrIarqLrrnJ1n23lsjS1NHbks2IGI/s4zNAvcwzMypGZkzJweZ4r\nv3I3uaVBVGXXDto2CUauLNy7fuwjt4wjjUHXt7eEnQl0EtV6rVrsq+Hf3cMF99YK1FF2qbBAThUQ\nexTmQnJC6KPZoX9GkT6pDnYkcJTVCgGxHNKdfHI4mRWMjnTXlZGaRe55gpushMI0K9NWrjxTQqz1\n1tEkjuosKQ9i3IOR1LkD5DQze9J//lX9Xe1PcAVEUZQQqq29TliZ3hxF0dR/d8xFmBDH8SRhm3Dz\nH3nuN+M4np/9O2lUk7gN74njeKYgmjD4h7r3F2xYa4SJcR49EdtH8OzYgK66Dwk+qHOF/vdlJdiG\nUVUjTMrLhJD7EtruIT2dEenwXe8l2fqM5cJkf5XBBtL3seMl3lJBDeltuQZSeaZ+ZJ10E9Wzjkqe\nmbZ3eL26mn2ikgxFSalR/aY07g6xiLF5ZPjN7qs8O/FsN6dv8p1bPmnUXx913yvXufR9v2JEV6BT\nnVSQz8lBqGk1Y3676JSMV6pPddxVjJgd+mC3sND2MfCqYLAy3DSG82YwMmLubK6fKqCgu7Lj2COQ\n1KcIBncnPSuFCPtuMj8hv0JwFOZguzz3efSU811x6S8lC1utHTVXbe12wQe6kxFn0TJL3pzO7PUX\nCyXbawW5vMO4WthzP4UdQUnfDIFx8HqG1mZTOidmRZ4Ph2cRnyoYpTOzMnpTSdeGc6wWFpJ+IbV3\np+A+2IK1nBhDcYa8WFFJO+1xOKwmdnjvJC4poYTuQ/OxlxW9ASiXoCkZaG2JjI25M+V/sZOeFC4g\nXSksUDHaKTwDW6nMJVWbLQkzVdh6Xx8qChghuATqkAgGM7EnzMlod8gWc4EQ3EoLroJJpGMBgG0V\njO0uMnnZsR8bxkursNDEZCYFzZYRb2FfFWfGFGSDVuaEKRBF1ESMSig53ufWv3ovI96k+o0NDB01\n9Q3rdLxYyWDiz7c9z/sj/353Ow274jg+EMfxoDCZL/93x1wu1BMSx/FqlGUrQP9H5/4uJH4BNsRx\nvDl7vdb4P9jq/wUb1l3ChFtHxzGaD7FnF5mLMY3EmMBhjVaG//cSctnZTsVQ9vwGr0Wk/5V1rwbN\nVSt4NZud9dso6FiBDjSGTz/Oc4dCMkzUa/ut8yRPZBw9WCd9U8pdj91gz02zXHD8Cb2fKbbinte5\nYuB2dt7Dc+sCresODt02Vkm6wy9++Xbv+eS9vvD8e+yKJ7G/iKGn8AoKyQu6qgX3D9q5r92okv3G\nvdxgWPowR07ScU5ys2JGnCagmgLubWRPf8iT2LGN9QdJXBf6oT7I7CWfF4zRLmE2jxMQ75mYSN8q\nQdQmoN+EGVqerTGq7rC4LfLEdy+zo++K7Bj1MNjHW+r1dxYLqDkOHTZZMP7bBDHmfULAqjz8jocF\nlPYMbhCCOnnCAjcTI0Iu/klFLFmie+ZXFDZk7287IgqbcIUwxRchxRNtPHiQv+3XvaGMZzbwnjRb\nNrKqgfd+N/z087vCWPT9kjWdYUf+K9yJnyZt/5f5Rj55jNYuwVc6TjDeG1BFzxbUsmc5Q83cnyH9\nsLCzWC/w46oFq70WIxm8j5J3oF0orT0uzNnc5mxfd4T5kEp6bTe6ArNIlQqGcq/gaklnx6+e8t2B\nQGAfIx7l2oiG0UHf17bwfJoiMr0cSesblvSlQ5+nbUjqeJr+lO3fnBfWPyP4c1FK/7TgVZ1AhzjZ\nGvz/eWC/75j/6NwPRlG0Poqin0RRVJb9bDJEUfRYFEWvRFH08T+me3+ZbeRRkstoPiF5eaWc46/q\n291K3imMqaBlgMYDVLyB9csZNyuUQR47LNBRVsfBn9o7mcKy4N8a1c3hlNTiGkMT5/LyISOnDjc1\nuU5H5oDBsiobDxewMsPxJziw1IlpI/nnLrnLXrWzoY4zOPxsL90bfeLOf5L3ni6Xtf/A06l5TLqG\nvn6ex9P7FP8/bRo+Gds+tc7bmn/g0vguq1KD8m4Y0P9IkqKLgqBH7RE2lSh9S6TxO0k6X5HqLJRo\n7aNyPIvypLbNMbRlI/VLOJzLiCqOPcOs13MwT+GdbUoeKtX4Yh0FvdRfaPiYp5zYfZrkGYfV5fQ5\nvLZXetosZR1HVKWesev+8QFdlU2g+9Wgs5pzVE/7Auev+LmzCvcoqe9W1rnBwZ4kE4eTV8ORfJ7Z\nHkpoJ5tD3SqjhPncLBjAOMy+spm0HBGMx7uxN/Bb049z6lwamkKlg77lDGWJ9lWn0lJKci/189l9\njKJ+xteyfQIje2kvJFqd9e1Wo57uvQzsILWYlcPpOUJDEe3HWD9A3ocZtY71I4WdzmgK1/P2WSHa\nP3E4nc20tdvXksuOzQLqPBfTAyOlf5ewy8l/rZ/HNwqI+hVBf+FGUvsYHCMg+pcpmBaYAKXj6Ikp\nncWJNQwcElB8N0WH6H4cGZIjmDCXqIr2MkET8rgArlbjForm0VPG4mbu34Z+cjfRWimAhlxh57eC\nl2cpe2enkuaeIARzRUr6gR6SowJKnbiZzaMZfuDP8/7+n7c8f8yK8C/4chzHcRRFXxH07N4p3O1i\nwf/Yh+VRFL0Sx/Ezv+9C/1u7F0XRT4V9ZmMcx7Ozn1UIuTljhb3RNXEct2e/+7RQq2IIH4nj+Pdr\nlOWdydIhnk27/qc/lYmShkVNvjXlHG6s4TNpzu/j3k1IMHIYF9aZdNM2u+6/mHmMWHDAsScqSYx0\n/mce9tSeSzjI0EQ+cP4/uPnOj2jKi1XEPZpPKXNx7SOmJIvc6Faf7vqq7pwBB77WaGjrBDnlExx+\n7wrv7X/aA72XKR7o0/DDUcZ8dJc73vdJJZe0Gf74AeXd3fYdnqT8uymtDdP0rT1iaFedzofyfDOn\ngJJxUq0rXbnrkJWFYxz/esbg8Xqa6zXCqHxtZ8UOfbjahH/coeKDA/pun6k3bmTLEPsexGUkpmE5\nh/s5o0DPNWUKf9gRtoXvLGCwQNOGN/JhCs8pse/IcA4w8tP7lLSW27nrHTyQJr6ZzgGqLsQKes4n\n0S7zxYT175qm/Yd12j8TcfAEkwvpzGf8AGsruWMq6Q3Yzfjr2Psgn1sWwFUBHmwikR/QUE++sCvL\nkB7DuHrOnsY/FnJVNXXX893tVO6mcjqzJ5l39yvWLT7F1B3bbL8sQ8Uiho4EozQ8kv8PxfqeK/8t\nzbOo9Fe6n3szO9bS2mn4Hac48f1h0qdNNrbgFgfOW8AD00VTl4sXvicUaH8bFmTYURICVccrA+PL\n3ciV3HK9vJJcPe8uY/n3BRS9hA+XsSIdgPbtAxT0ULWQSQvZsIcTM0Pa7OAtoc+9uQL3tgk7ONGQ\nnegTg9pz2SW0nYKHQmfSRznyDi5P8+tsFVg14Vq6MJ7u1Vgayn/XjGPORJ7oEwZ8hkCQfpmzbyS3\n1+2L3+ZQdZ1D1SNZOyT5o1wzW0odWNBu9seOWrVnMvf8/D9pBX5P+z0uhWd38uyu//Dsw8KW62Q7\nSTv598eM/h3H5P6+c+M4bvo3n/9YGGwCqn0ujuNWiKLoESGK+H/HsAp1d78r6+vItk/hqTiOvxFF\n0SfxaXwqiqLpAqFlmtDZp6IomvR7fRn7n2N/yMx5sWWxMxufd9sL76apmzUF7H+Gn44S0nJO48Vm\nNhzRc241X32IMy917L6xdLYxuMdTg5cEDvpt+BhPll0s/Xe9zEvben8VZZvdMvv9Jn1pizeVvl7X\nY5VO+fBzjrTPMOYn2+3921GoMdTbY8bGvSacvtmPVn/E0cY6LqB3XZHeqkIDqXaF407IRAlzxr1i\n+96phjbkBFD1ci7dXZa+o9GmXxQ4XDiJX61n7xHGLOPhASpLnDl4r0fmX+nQTfUGPpEfdqD7BgSU\nNAHdNB9Bil2NHHyAvvmaPzeSlx+lp4iRM+np5uMHdBY2MfxKjq9z9Kypjr4xn/59ZHKIppE7iaZb\n0ctV53PfURzRumU8F0Z8Ek81sbU0KIttepL8GkZV0zgWtXRk+aw/6mViQXjCz2xlYCqDTeGeVQpI\ndjoGuWdXCETe97zwJrZzYiSZJzgyzroLzmDXvfbdfwm7HmTHMDzL7gkUDer70mCY4Xt+TX+h7lkV\nojfG4q/uIWeupsSIACqHOBYXhp8v6BM1nhU0tq8XPCxRNzl9tA/Ru8lvfft2i+4s1KuAV+5gqAXH\nQimdnz9L+aKQM+BhSi4IAdRnOrL9XMXgCQFIzUA/RYvoXoW3C36Ht5HoCCVm2jZjP6Vn05FNMui6\nh9ubhHd8IDzvRD+F19K1TkDSZUINsS2sPSi4xBaRirL320dHhm2/tClvtp1tUwy2ZGjp0vi1XEeW\nzDV+zjarvrGM9R0C/e3P0H6P5Tl7evg72b706O88bA0mRlE0VqBQXCukkf3b9iA+gLujKFqEtjiO\nG6Moav5950ZRNCKO42PZ868S/DwEZvfHoyjKF0DfWQKa/c9278/T4jh+PtuBf9suF26M4BB6VjC2\nlwk1voewP4qiXYKjefXvvnoP8khM9YZh9/pmxydUzD8hp2KFRPk1+tNZQWfZKObwUiW3FDq8qVLh\nujI9H4iY0h7qXRVVBlfcAN7CxPR2R1tGUFBm7Jt2O7Brotry2Ose+76ndl6ktKvbQEmhtcMnsSCy\n919qeOYAiXK/WP02/V9PWl6/mJVbdO2ayvImJS83mj76uG0HZznxcA0pThxL0XSQrruE6P9IjLOj\n5XR7Gye4PvMtF/zjSn8/7YvmjPiFp3deoO5nyz1y9yX8a59Tv/GinJkcub/armtL2fEc0RTig8yb\nzep3Mzdt4q+G7F46Q8lnm3X+w0WS5w5KPTUoOjdP39+1cMkSqXn9Rv2s16I1d1oxdJajC0bhNuKB\noPrVNwy5wRVrG6Yxocelj9zjN5MnMKzWyC8MaO8Z0PP8JewbYtMQmkkV0/w0qhhXQOXhoMswp4oX\nfiwE35pD/6Mihg5zopzevGwhvh7MI6+U/t3059G7ivIqtOnfX5CtPnCMxETiDcyYw9SIV9tprQ7q\n/k8eE298nL5LGXyKd/XSdYjC+fqTEfd14GmZwgLWzyRqJE4LboFN4R7szz6nvSg2tDuXRw7QMT87\nL1sDE6GtjbYVstaa45uCYphD5OfSX0fiaFDByoxFL91ZP3ZiG5k34+lQaNHV5A3Rf5yOlSRGkZmZ\nHZcqogkkaoPkYiYmriDndAaXC0GuCdhNS7bstqcYWiQsENN49VeUlvj14FWSR9McKiaRUr3kKUd/\nssreX1+bLeBwW/Y3/wztT7A8cRynoyj6oOCsPkmZ2hZF0XvD1/GP4jh+JIqii6Mo2i2s2m//Q+dm\nL/2NKIrmCrB/v8AmEMdxWxRF3xR8ORk8HMfx7zb52fZ/I3hVHcdxI2RXh+rs5//eqXzYH0xM7sNo\nMmt99cdfNPjBPEe/PtZg/xj9LflMzRcmUTN2iSZ1Gngxn8cY+FJRiIkUl5F4kY+MYG5szhdX8wIV\nr2vW+ZMqKjhQMBGDeusKtCl36L7xpk7caODuPKbuZsNz/PSWkNqY2az/FyXsOMDOPQw8a0ztXtZX\nad23waofnutEnC1tsenn7DtAV2+2Pw0Cutht73cm89Qu7//yre66eZkzG57SlBxu5LDDdipS/nwH\nccoLe8/RMqLC0SfryR+OPOJdmCP6TBr/xPFjMlVhlAfvK6SVdGuO/pJCfcNy6Ys5NGSoOU+3LcY4\nqCxq45xBAQF3U3SSvlQXbIp8bJRfNmB52/nB17nzMUfLx3B9f8ATYwbpvw1NDD0tfHhK+L2VI3ng\nDnYdyPZ5HxXjcSxkUqmlYy+DTwugIYFh9G9hUiqwDmrfxqv7ufwqfnAn5Zdz8azAYx43l4m5/Pxp\ntkZ0vEzXc0Hdv/EUeh4O/emqIGoKvtbOqbiPRGWg4LmbeHP29wuzc2lAiLhvzH42nLvuo2O3EOw7\nO3z2tnMFX0eTEP3vQ5rBveScTf+YQPlLjyNThoNB2tES7CFzVDDcuX7LTOnfmr3WPDJd4T6WLBLQ\nbhHpVVm6WxHdKxm8X6Az5AgotVzYki0TWDFrhFzgdSilu8bEgV3qcw8EH2sORx8fTWcyQJ4djwjB\n2z8T3epPTBCI4/ixOI6nxHE8KY7jr2U/+2Ecxz/6N8d8MI7jiXEcz4nj+NU/dG7287fGcTw7juO5\ncRxfcdJOZb+7I47jmdnvP/0fde+/AivgfylDIed9KxV96B5O3S/e9Jz0JTms6Vf2ZG14/u+dxbL5\nvOkaJl5t9OR+eW/p50IW/P0qF/7g12GeXXUaP6Gufr8Nm09hHGs2LAmusk8gzZhvHzT2ezutXHs+\nB1n95aXBjX2sOFQfdWMQA5HIBujH05zPQOzw5+o5dpzCwiCiskG4dqoOO8nLMg3cRHkNNy0LqLCt\nwnnLV3n+kjf58Tff4HsHPiZKxsrfNEP6vEqGVzA6ZfO/nqrrB6Vqiw9RfylfvY5P9DnvdY8g1xu/\n+Zzj/SMkPpdWfEUHNUS3pCUnDdCYomKy5Gd7SdLy5mvcN3SV/TumUVrMgsuY8y4mX8hpFwVkdB9G\nn4EW8xKbTa7cGTinBdf5xUVvMLNsE/Nj3333TZjBpHP5wAf41PvRzfSIth9gKlXnM/dGLl9K60o0\nBd3c3OPULiP/Ci6/jGFXkizFZMrOCbGhK5CpDBqseUlOLebKXBYupDdiVx99+5mxUdgqp7Ii2vuE\nhWF7eF56BafpanSQyRVqgY0Q0Fk5NlP+rvC8LBJ8BHvC56ZQPM9viwG+bSEv5YX+WZAttXKVsJJ3\nBERekCOg/mFYy7R5gWdqDfXvQgPLplE2OWjLJh9gRg6F+UHz4NLzMJyRJVwwPATCnE7yrdnrtlHw\nZnLPEIzzKJbNEEDGGoE7exHTRgqBsT7icWbEm42v2yma2BdCNuMp/cQ5EiVPcuJ5omcEJsKfoeX/\nkX9/oe3/hmFtzPLJRFE0wmtZDr/P2fw72+DN1+h+6E20v5PLz5LoTTM2T/sbqo3u28ddbXRv5u4n\n2L1P27pj3jrxJ/LLumT2Jj121xXBvbWjmBkc3lZPJhUAVJvX2Fgx7RsqrH//IvFQRrJoQO7pvaKO\nmOZ5VF6H28jJFr2bj/K9zKkhOtWoNx7k0pTE9AqJhYNhnj+C087jvHOo3S7si/bT1sAP7s5WMamR\nqBh02ltWueJbL3j9L++w9Zm5jmycrHNlGVMpadrutMtXKvx0h5a4nX2P8+mHuavbKzsW4e1++dj5\nEt3E34l0Hymhkmh0LBoZG3X0ACVF0p8o4aVYbmPKl5OfN3Vgc/Aprl3Nhpd4uZmXnyK+Xe7cXg49\niXJbD1/sgvQTRDcwt8X3Oj8qvTZfzfsbfOjvf4q17NrOz3bxtSfDoPYi9xR0cPR5zs7ngWeEFM4P\nBvL/wO5gMD9Wy7oDTK8IwRorA9l/TMSjSboPM7aUqtoQCHolzd6t5K3mWAEFE+iqExypA8T1grFM\nkjoVG7L0ocnCijMl3LOj2ed5Gals0kHbAVInRUjuFKD7ROaNp/9lwUhuDll/S5PZqbuawa1CeZVG\nzKV8PantJM8VFKhms/ME8kPZ68R6LOTJfbS/QDyGzNtpaGNgLQ37eXRN6E9HXkg9HizBJtK3opDk\nUqK1DO8XFogUW7JatZZgkKoejh4UKG0jKXjIPaXXONQ7RvmRTh4iv6Rf5rFDolvP5syvMOJ1gs7r\nn6H9N9cK+D9x65H/L9XhQdyIrwsx1wf+zee3R1H0LcEFMFEQXf3dbeZopo9l1S5RT7fMQG5Y4arK\nHXq0nPWNVI/HC5Ts13HkfN9788cVj9tv9fIzgusp2URrI00zgv9pfyfz8rg7n/f28kPkVmgfypNT\neVzb8wPShR1a1w1yazvDhjg7xb6P8sJxLhzFnD6mF/NSB1MXObC5nUSvzLDZopfa+dUgFQn6MvSl\nqJtHST+Lk6KaIhVn5Rg6uk/Hd0v0N/Z55cXxhpV02LNorujjeyir9tSll3tbzr/Kq+1VsXqXnt/M\nYmex4M9bovLD7crvatPmOa+/NsfD+97sbctvdsfDb+e8QZmf5MjsT2mYP45z2yko4/EuOScGfO/w\nh2z81VxezZAZiQS5Bzj9XF78oYGh44y/mouPmXnNCns2lch5a4/BDcNs+Hyx4jO6NBlp6nu22p57\nNct/Q28XZhClyV3DxKlsfSWUvTmcEQxfi7Ca7SNxGUfv4+tnB8N0cEDgdc5jaxPXVnHXvdRcwndX\nM24qjz4tGK8KmtopmRbmyMF2IXibRZWlo+jbydBkSkbROSJMs/xLsn7kLmpSNNaik6ENvPEt7Bhg\n48kst8nZ+23gjFG0j2RvSTj3x71Cvn+LQLHqEHYkj4bjm7vJTCFxRNhW15Fej34G6tizTQg6PULe\n9fSvDca/nZDE0Up6b7iHx09mnKUEj9oYrA9UtZ6x9OzLvkKLOLI/9F9XOL5lJRYKSRt7yFxn+96M\n0ZMatMbDzf3Ratvun6Rr5zEmHg8FKY+mBbT7Z2h/wToAf0z734pYoyi6QxC/mxxF0cEoit6Or2FZ\nFEU7hNDqSf/IViHfaauA6d7/B7Mb2qt4cDPH8kTr8uWNHRJ9NM22X4aQ18AxGn6BYfScSvcWPkRX\nYx1XJMI8vKwsiJycillFvHkYp5VRXUB9OclyEklO5BscrJKeMELi4gLDb+pVeaBD2YeGyC1W/ssj\n/H0pZxWrv2oXs6ud/bU18n/ca+0FS4y6qV3pvIxJH9nPr0r4VAUfqOQDFfI/m1b5cA+pUjWnNzqx\ncq6plQcU35xWs7BTW+NkedMieYX9ys6r5PHV7rv0MldccK85S7e45LznlLwrY/iMFkqm4B4dn1vt\nyJ46XOLxvzlHZnTkjpveacSEBj6fw3tjlmbC6D8Qs7uLuQU69z2kLz9f8o1DNB/zW32F5jZeTCGP\n+TUcamag0qpVl3q8+60qZ3SrOfUBvWuKtO4Zxjq6jxQq+FKuYFiOYShkUN1TxEVFLFnC9lp++aJA\nfn9BgLPnhm3x5BvCnsViAdkdFbbse7j725jJ+QXkz+VTpcI2d5ngBy3nmiQjSzlnFt7E9UtZdoGC\n88dKll9PZrxpB/q4ZQ4P3ijvpiIuS3Hd6xl7Ee8YR9lko769gKIq5tdyXp4QyDrgt6IpK6pYMoPh\nGWGbvUfIKOhjfF4Q+75lkAsuonIimXrsywbb1uPe7Dj3CMZ4TDjXpfSfDGp2CJZ1bXYsxwrY415M\nIm9u9lqrwricTIyIOgXBmijcc2IqF9VT8F7BwPaGsS/voaLI8JIm0fA0G1n/5YWKp6clz5xu5H0d\nvCk/e1+5v/eV/E+1/+aI9S9XhCWnUf7TefqeGTI+02LvL8bS08vc8gB8Ck8wu4PbkpzRTn4V8Uh5\nle36n9vG5AlsicnNUFFK2UvsS4d4w9yEvLMn6/9NFUefo7uVujOZMor1h5mez+p1EqePk+kezswy\nOtPyy/r0jS2ijbxRPeIpDAwUirYPKXhjp95lu8UTTyE3ESbN+aQKBozefUBHfYnaGQ0WTnrZTz57\nNTuTKsY2aN3SLzlrnvSGXF948FN+uuJK2ksVLuxVt6vJs8+fLt6VobCZh/K5pMu173rCXfd+mBc2\nc9FMCvnSez/ly7f/rfT4lPr0TiWtnTY+NYe1h7h4HA0bw+42b2qoJto8yLqDnFZKVw/1FcHd+Mph\nDiZV/yTf4vNX/b/s3XeUXdWRL/7Pufd2zkndCi2plXMOIJGjyGCCCTY24IRz9tgz9vM4+zkzzjYe\nMCYZDCbnjEACgXLOWeqWWuocbnp/7Cvw8th+vMfM+o3e+u217upwz9nnnH32rl31rapvWfXtaTqT\npSpHHbZ2zWRaKbvwsI6KfiV3ZXXd8rwc/xwOU1vNkCpWP06ymAkDWVMlEKjkEw0O3ABx2BaqympG\nXqAwzK4RNL01gvndTdM0tr4ukD7HBAynV3DeDCPaHo7NG0jDanaU4HXqpzO5gMXdxKdRs4Idccad\nzsrvU9jIoIk0j2JYO1s209OOHSFwPr2aUcM5WMmhpYJQHC1EEBQxeh4bnxSCYBv8n2QAACAASURB\nVHq9SWEZEwRkrWBmPSkIw4WC03kGddUc3paDEgbmxqBeEIidwgDtE1JeiymcS+/vc2MwH5vJi5OM\nsDvg1bEd9MQDOUxnW66PDKXFZA6InjzZVcfeIfNqvsU9c8T70za8aynvuDrsfU+/LGjI//z2SVge\nfovHnn10VhA4eveE1DK9nx7Ojq22zDuT+J4QH7k0S9NjvDqZvSvRxvJBdCUYtE5f5bBQk35hDSXr\n6V1D8/mIkTeEGWVs7de3oZFNjwjm9eiAox3XQHcRJxVz+ikSLX0Kx/dob80a+oWNBh5usXjLcU6o\nftLSvOkqqg5p3jTQ3BNeNu3Qcj879ZMKJ7TpPanEvN6Flg6Z6qTss6qOP6x3TJ5Md8I1S2/22+Wn\n0TjGoadrmNYqXZZPf9L3l39a4rW4H33/I27+xGj7q+ZqXNBsx28bAz7sbh6qdMfEj7FtM1s3SBQ1\nSj1dYfE3ZkvsTCns6rX18NgQmZc6zP6VLFnDygMUDmdoIsdlso9YKTt3sjdizV2Bl6C1lKaDWstO\nt3n7GFvLR/r0e7/jx899jnvWMWOcjk2VFGYN/v5KG27ZLPBdPCYQXa/gQG0Yb3tZ84ogHHJMS9n1\nAV/NjPSmV30PasjWBqGbnRhy69NFWMXW3YIXPoZtRKeS3YyXiZrItmMEo7rIXMTHcE832aHGf7nX\n2utPoivFthnMHyA+boP0yhGcNY3ZI8SqelTWZLTeOIWdvVx7Jt9bTs0Y1jwa2LacIAi+fYKGWczo\nTvrPZmob9y8WzO4NgtY3nmhXKP1jBvl76R8Q5qtnaJlBXmkYszcIW7Z6swREFZUzObwRpfTeKXic\nNgjpx50kRzE0n1Hn8NxexmaZMpYH9+fucWkY94Fpdh0vvj9mTvoVP6r9tB3/NFrJqC46mgO74ag0\nT7/gPy2O9f9xKODo1Vh9TYBoBxmU2a7vzjIH+wbwgZ7AUN+7X+AByMN0qlbSdEUwf3+1gfYHmH8l\nC58lr5NvvD/M31sERedbuLGVV1LEmxWOekb65x+gLy2vLK33c0UyqxIksuz5NSM/wObvSOz6iNQl\nZQHOOviAr2170VcWfVfxzzqdetfDHrjlnezLUhYFR3RpNz9fRUF+iNGMVst77tNGZTe56firXbzk\nAfF4v2Hjt2rprlPyP9fY9J65Ds9roGOzD/c/6ZZX3q/j020sesEbFUyvHMltj3DqBLqGsegOSuYz\nOs5lgwIU8hRu/yUGMPsd6rL36H7/6br6y/hYm5DbcaGgLdUKVI3VmEbJPAYuEt18jOyFi0Oc5dnH\nh6iHDhy8j87tdFUJ5vOw8D4GXsDJVdjGbWlBILYJZmkbphAlyK7I/a9b4AYgaHybc7/PZMQEtvyI\n0z7Fk08J5vDxgslydiB+PqeUhU+QaaWtNtx3X4rUvzPmIjbXk95JQx37DhK9wriTWXu3EDu+WnD4\npAQIIBcJIIXdDDiTpojFvxVCsMpy3w2ifCJdT5Fe6k0ymGsEnoQjyRwD8XrgS8guFaRYS+6Z9+We\nt1AQxqncGJ2Zm6hZgdxmc26eP43BFM2i50ha7cLc/ZbJ1cEWwqx2ChEOFQLMslDRS1crmdvhwKcL\n+Ek+M5tZ9xKD3xsitO7+vcBBEH/7GutbDC6ITjw6Ndb/DuFW/5ftvQJ29Lp9Nw7TV5qXq5a8hpMm\ne7MuUBeeJ94Uwp1aBeJqBTT0o4fsuKAUNQrQVS67UFcBJxZx3CTpAzXGj1wunaC0qFPmgjhNS5i5\nieqraWimfL7UHWVhUz82S/2Zbtj7SbFvp3W3F3vguku4UZD3v8ry/AFue5CyEYG0OXERo06X3FJm\n7f1TNGcGKBrcadTIDRYuP0VeZb86yzUld4t9hpo/DfDQ7+fqeiJGfVvgY7WRxOthHWlha1FYowPG\nhxpOUwtDpNG9cjEXQ3GY+bR2DzP1va8oTHVxTZ4APq+mtEYQalcSr0aS5A6GTnL6lPtpSDIlX35B\nr/yxvaQzDKijfKYQZ1kbxrlyFg29gWvl8V0MOSRgomspjAQzeCHZFgZ05PLS9wuOnJhgj+ajiHhd\nbvaeHmSRDkHz3S6Ub81n3IYAYxxK01ZPbQddL+fiaidSsITMHgp6ObiDuoNku9j4FAZQvIPEDgb+\nQSCGfk0Q9Ec27W3M7mPnPm84llTlJllfwPkLGnP33CIItM25PqoFTHZT+F92jUCiszd3/MuC0OsX\nQk0GCKBzLIx/NF/QkG/BShKV4ftEFBIrFAUu4oJTc9d5Jveu3yNslIMF0oo+ytejXM+icqcve1pU\nWkP8AfaU0DifCRSt6g7X9fW/uyL/j9rbjGP9796OXsE6Ni/ERA4a7OmrjlNwfLeJH3uN02aGTfWi\nOm44N6RWQuFwiVO7gjLzL0P49kfpHcZZ1zL1+DBnOlHFtB8v4VEaf9Ls87/5oSu/+zslfzzdR9t/\nqqbvsOa+WpZFxNLB3Gq9kdYK2pOcmOZPd9Czj517jS5fJ7N9NZtWmPfzZ8XOTNIWhVjLWQkOj6Lj\nURwgu4yNzRpP2UhP3McX/szA/H2ef/pkY0autfUL4z3Zer2lv5wp85XHHPz1IdsPH+/kwy8Z3N6e\n42P9MKlYUJ5UMiEWFJ2rpwYT+KVqyrJUZeV/uodPnM0J1/r6dz9j6Ocq1OQfMPGiZc66+lFhesTJ\nHiBRRaKHD10ZBFH/a7z8mg37JrBrNA8P1/9yof4dhYyOsbKLlg5hYNeinMNrQ2hUwdpQ+2rwQeYO\nDdfpfUyIDhiNdRQkGX4ZhRMYM4fULmLlIYtr6iWcV0fLei6eFG5zynxOPo+Rx3LMJs4rYdgMOjcI\n+OZqDpQKWnAP+llZGpIAkh0kS0M0QWxOjtO0h+5OUgkOjRaEWDEmExUJJkkNA7PsWS4IynEB1zzr\nHdhCXy/d2zGcaBJGkeindmaur3SYdNXjhE3hFarjFNUysoTS8tyYLEQeiaQgZF8I50+5mppTMIRU\nD2pJFQpOrXWMXkbfYxgRfAzqBWHaS/5YBl2HdtprKUuqPXevZwecrO7y3Zw+kmEFEjXLRGdn5c1P\nUjxVoPL4T2j/v/Pqv1+LoiibOKZPpiEuu2x1iPtOrCU5VlSzRfStC2Q+cpv4WWdLP7Y0QAPJbtJp\ngWn/eAoTovm1sosfJz8VynfErgsplPFnwwTN6yB5DB4gHiN9geC9bse7iT9K4riQYpl4glSZoHGM\nEbSWAXJ1QwSz6zFvml4ZOWrIXH/DURZM0WxSEDA9xM4kvjaQGWfW4gqG3Uu8gi0bhAzhfLHSZa7c\nvs+GqvHqr1nqgZuPdVymw4vnd/BEhwV7iz16xrGK31uu+9k4T7bTVxueK3YrPdNIl5F9nEQhTlA8\nqNblt93qd6eOINkhdv5EmSdG8YGIHy4i2prjR61W98kntfw4g9Mp25Yr61xBbBIFLfSsFUzfAkEV\nacRSiprpqRI0zmlEh8h2UHQuPR1YR+w1Mu8SeDEGCFphvhAulCN79nhubAcLjq0CYnPJlAtaXxd2\nkL+NVB6Zcd6ENiYJGvmGcA82CNbOLCHQ/zXyJpJcRDSG7NO5dzxJyJjYJ5C19oR3KF+AJXYKjF0P\nC7tbKzXv4+Dj2EPsPDL35voaImAzJQI8Up277yNRFSWUvJ+uXwoMVgvDXFYmOKxqc+ce4QWpFCTT\nxNz5G3L3W4DXKTqD3jSx4lAny2ncWsmrMZNfWun6R3/kw0N/HLgLsjktPD9N/zZ84u1DAUve4rGz\njk4o4KjdEwpjPfrbC2SGjZXadiPJC5AQH94heiAlkz9Voj4rXVJPXjkdQ+jZgHJiL1I5QWLHMMm6\n0ZRvDCWe43tItpOaTl4mpImmesjWkV+UEw6b8HH8OVDJldxD3/5wjg0Ch0yRgCXkhdz1zFIhXDcr\nQBSlwiQnvII4KqgYQvEJ7A0B+OSR2UDJUHqfJdMWrr+7mKhVENZ7sULVt+b7w6UnaLis17rOkH65\ndV2O4KRsr0fPPJcdy3S3NdKX5eIibnyN+jlkL8Xt9JwYYJGifVitYuw0f45dSNlBOtvlbUvoq17M\nwfmh3ErsONJ/whgtty0QML6byWsUBGAl8T7K++i7jszdqKLiAtr2UDCR8hJ6cpqx/UQHQ/58z+8E\n4VaQqw76WMi0UiYIu3UkMpQMoe0IsUmp4JGfgpJcJYFHcscXhO/7ewQNtheXhnH3pCDcThRqSk0X\nNrxWwfxvJdkT3l18c6A/s8UbnLeOy/0sz733Z3K/TxF4aAu9UQL74A7BIVca+sr0CEJ3qDft32He\ngE8KaumLsIP+m4Uwr/3CRtGem285gm0vkzee5O7cNcfljplFNDQHN7wezuntJ/ss6R4Sc0l18f0k\n0w/YX7jdFy/7Icds59lK0rtDSZ/iYvr/mvrj/7IdtZLnrbWjFgo49/r7nPrnRwz94RYqpguLY7vB\ndzVoumKj2Mcj1V/dKzF6uNiXp3NGBmXUFpGeYPqHCzSdtFTeZ6cwfV7wHFekkWZABckXuHQdJcsY\ncRLZsWghcRY2U7cglDhubxA0z1cFjGyngCnEQl+ZfYIJNknQKAja2pPh2GgE+kgMoO0Z9u6meI8g\nJJZiMPEVoabRkBOwJ9DmVZxDdUxY3KMVdhxy4ROPa34mpn3LaEoLjRu3XPX8YQw514f/8BMF3xpl\n9nUv8IlI3Uf3UFur4PJXDLillaKJ/Gs55yWYcbno88c76c+PyOtLMmISJ84z81/20DPJiBuWo5nZ\nCZxJVGbK3B1hUV9wHu+6kpnzsZezE2rfX8mpy6k5GwW0rcDLRpyXr/GDjcysoXEolZMoO1sQKgNy\nPxsYNJW8JkE4DQhjoI/Uq7S9GMayKldtwfGM6xCE22pBe2zNjfc2Ia6zKMyF+F4BcC4K7/SNGlRH\nWKeWCwJ4AG4OCSWprQKW2h6eRTaUuLZCAK6bvVmXal/umEGCsM7m3mmaolLOqsUwEiOIdgjlmfKx\nhkurmF/LkAwnNIVnHlPCnDTjRxG/hrKTGHI6TQVMj2E4E/OZP4aBOVx8RAluI7tXyPXOYBexFwQB\nPZhUGi+r/WafxPTRoutm+vAlPzekflcgKIoGMbBVwQV7c8/1n9D+H8dYj1ooQP3rfHw6T2ZYlKaw\nj66HxI67RDQvK/1vtzPn3Tyzn3+q5677xU9YIH3LE0rHHaNzejVP7KK/i0OvU5FHWx3JV6k5g0Ob\nQqZQ4Rn0LyJ+PBV/pOtsekpIbxK23QeInUFmHc6idgOtw8L8jbVRFqd/M6li8raSP5f8umDBZp8X\nvNgRfsWHryVVz52v0Laa8gaq8w157wEdL5/J9f0mr7/fizuvY0I3i+M82kLzKopH0HUQL4pdPFnZ\npDnavvYzJX/4mOHnb3ZC7wvuuvlKB5oagvLcQ7wrKR1PBBTiZ0sYMzRwqo4qk5faIpmo5uHSEJ4W\nE8ikX9sRiMTXLjTtpirLvjyHXdtNft8KK993gaY7dsp8NON7d37cZV86QdhQJgjEQE2CYCkKn8IK\nMiPof1bQ9HL1vTwbfs87jmgD5XNCplB2NwXvpuDxoF0nXyOxh1RR4AuQR996jKb4Yrp7BZN5Ja4W\nzP1iwRE1WLAKjkSO7MT1JO4h9Q5BULaHOZCdJAihVkGbLBVCOkYLwnS0oJ2uEF7sCbnjfibAFVOp\n6KVtGw4THakSMF/QiMegIpBXp3fk+mml8Fx62wVn1UGyq3P3OgYxatZweB7prd7Q+NXm7mF4brXs\nFCCFotx9Pilo/bHc/xrCtWPD+MUI7xn2Gzd3Xcu+SPxwn/TP7qenlPaTc9U1TkDJ24cC1v7vjyOw\nVh6NUMBRq7EqnP4mr3d1Ht8vpX6BWFNK/F1Jznh3sNbeXRHgty+dY/QvVzF1qnd+706ei1jQyPxx\n/PRSCqYz9SQMYv4Ixl3EKZdRWsnYBUFb+M41vLOeKaW5gnA7wvEF0wUt5mHeOytn8i4n9iAXjqZ4\nQsg6qryay8eRLUV/CDL3Ol4j8Q5+/jK/XsHZc1HC589W8PAcfe88QeaHMW0b6h1z6JDE6qS8X6Vo\nLuKdQzl5ASX7UEbN+7z73MXmj7iJ7Mf82/KPe1/it37Xda0ZH1isvnqX/I4+pce2GfGlDVQx8sOr\nGTEb9VxdwhTyLq7kx3exblFQtPblPseP5tIYii37bZrhhdS1W/nERF+Y/k2f/sG3NMT2u+2UKwR8\nsSs8qyYBtshiSNioCgs4dli47zdM2hZvMO8XNlFXw2l1JBqQou8hMgfIviJomaNRzZgpfOvC0Lcd\nfKhHcDANFUz8I2z5jwrCZ5k36z7lNOQywUkWjwTBuDFH3LJCcPrk4UCAlgwSNoCBgsBuxAmhxpVW\nAVIgaMQP0rbOm9SDSUEzPsLkn8afc+VbdoUqs4bTuz036IMC7KJCiCjYFeZX8UdI7BU2rwG5sZgh\nCPma3GeogF9PFrBngtZ+hiD0Uygif7cRx6zhpBT3xdkWk34yQfdMUmczdnGuvyf8p7S3V/Pqv307\najXW2E0pE85fprcyYdMHJ3Dzs/Sv5olPBh9HJRO/ssTqK2apOb6ZQ2sc/MWW4PU9M8HkcWzroyfD\n6nVsWSxojqPDz2g0NeWcvoVVCfZPoqqb9U8IJv1GGprYN0zIx04FZ0RhG90LiY8hvRgNga4ukwyx\nirEs6Rzt2xsa2jJh4m/zRqB7oj5nduYzcgJbC5nfzgsvixobiG2Q3XMuyQ2YZeJHd5v7qZft722w\n5paJtv7yVR//5/vc9Ycv2NtVpeqWYtkH8kz4wEpdpQVKlvR66Yu1nFHL1Abu2M3SGK2lyr6aUprs\nUHdxi/cnf+ljz/+GWi6Ye6f7zhvtgbs/67wxZzPh/axPkd6u4UPr7fvlQGQ542Qq9/PHJHXd9Ce4\ndgQ3PB7wOjOwio9cxYP9HFxG5zJBaByhw2wS8NEixlzMjiS9FUR3hUQBaUFw5qGdeC3p1vBuYrOD\n8C0fSvtqQaAMFwR7h6DdNeTe9cJwz04WtM8LBCfSKPLKSG6m/N10PBe4aY/gvnbm5ktR7vczidWR\necCbwfxVuWeqFxxbKSHkamu4l0H17OnJ9bMPbYE+MLMbl5LYQirCysDuNexUtrwWzo91Ec0j/ZIg\n5IdR0EXfckEbT4WxKe2kc5JAHZijZlRAVB7GKvs6xlG4V/V9s3TcNVDegpTqi/fYVZekf0dIikm0\nUH8Su7eRmvP2NdYdb/HYoUenxnrUClY/ziia3alnSVmA1nZj7+sufHCDh1rOkfx8WVBoynMndTPj\n0Re9PnmAgj8M0fdMsbzuPsldBaH87+oDxOvZ8QcGXUJpiq5S3okXKTi+R9/rRUEZOQOfaw+VRG0S\nBMUupLn8Ih58ju4hFBfIv61W/xfXhfpDBcKaaz/Ak4V0PkiUT+pM5rQFIpWZZZRHPHyb/PddJFmZ\nZ0jNdl1XFzj883ozJ7/q9RWzRcOzUk/lh8I392D54wyaR7rI2Peu9aMLP+7sm3+v+qZVPnbbI4YP\nbvHN7JckJey+ZoT8U5PGXbHC6+851mm/ut+T154vKsyoe8d+6cGRTEHk0EcHcEmOAORRTE4xN8EP\nMmzfpv5LKfu3jeHRfYzf49sP/t5L5nEwZuaB5331mLmc0cjjy6h9Xyj42NjPzqcxjuEjGd/II08J\nwq1JeGn94YUO/yAzlgZm/XufpnM8XqB2NAMqQ9bWxMtYvYYLJoa6Za/dT/loxoziqZcEjXmCEAEw\nUNjQJgsPVUjiFFIdgtBdJEQClAub3oveIIiJTgnnZl8hkaCoiY6egP0mj/CdDqWknf4tJHcKAm49\nPhoqsGZiFDSFONp0i7CpFggbRBYDaBhL80EG97PzZUGN3o0Yc67glZuoG8HBYfxuKt9/hXQ3a/cI\nlXW3CBt9O8Wn0t0ezi9upXtAbgzahI2mBj1EhZT92bg1s6W6C+wrrHNcywuef2Cq/rvWSh93luw9\nL9FyBEb5p7cvWPe8xWMH/W3BGkXRAvzYm2TV3/0bx9wgANddeG82m132Vs6Nougz+B5qs9lsaxRF\nBUI1lEnCrnzLX/K4/q129EIBL0T6nitWPPQwUZbiLCfM8OCdF0utDoTOCvA5Ad7bmrJx7RSKxjg2\n/byBn9si9UpeUHgWZtnRF+TjwU7mHGRgoBP0khB3XdUv/6TeoOjszVB0v4ADlqGJgSejnmcjauZz\nfBOxRqm1+VRODWxWqXSwHg/V8u5SPnFZyAXPbmRvFzUlwSeSj89cZviPNrjoI39UeX2L9ocGyByb\nsLZugvTv86Ruzg/W321yJeRPZG0XL6at75jk4/3/xpdrXP0vyzX+qs2moiY/X/pxU9IrDLlls3hx\n0lWVN6v9/Q4vt58k/tNe2fdEDk+pMnj+NodeqQ+y5laqY80My4Y8+h1C2FpNvv3VI3LJFCs4doav\n3/p1z244wycbfuJbj38WlSwdi4EhldWfadkkaH17w/quO4JvrhPwvy0Ul+O4wN6/ZnRQOFPLBVxz\nO22T6KjDvDBe1oa+ShNc8g4unMjmhGA65xirzBEE1PGCUyuBNOklggBtw7HEBgpxor/NHbcFc8n+\nlmyO/i+9nY4lof/kbwWLozlMuN4dIVU4fq1w4zNxI5kl2BBw4XStMNlWCokFhaEaa6w6sKtlnmba\ncIE4e4fwkHPorESMtkNkFgYId/8c1o4J46mXwkGCRXUWdXsEGGMvfdNz45Av4MybBO29MyRkRFWG\nRtvVD92ps7vMo89fpHtns/Sebtk/RRxK5uJt57/FBfq/aW8jjjWKohh+KqSgTcQVURSN+6tjzsLI\nbDY7WqgE8Mu3cm4URUMENp/tf9Hd5ZCr2zcLH4yi6C/rZv2HdtQK1mhExrD3bmBwls0RhyIebOO0\nlJrT91DI/BufClW03oPZCR2/K6fqsPUN4+z98gjZ1k1h7k+IaN7PY5vpO4nflPH0qmCR5hK3ur5b\nof/mwqAM/GQVXTluz2QRHmLvA0yrZmqKfWt5bj1lLTJ/iDMoRlksOLJGCOv77i38cRdD3skpU5hf\nx8lxJkXh+28us+Gsqe45+Uqrfj1bKpPvmGHPSe+LG/KpHYaes01t6cpgav+g35ABezm3nlPyfe20\nL+jeWWbyb9Z5+YS57vv2WRI3rdRbl/CVDd9yZvxRnePK/PN9P3TgX4fSm5H+fCE3RxqW7qI7pq5x\nDxMiia/0a108gE2Rsu8eZDdNj62nodDY+nVBoRt3hmML/6i7uljn8mLbSwa79Iw70UhnH/md5I9D\nNemakAaqgXQl+9KCoB0hCITj6d4bxrYmTl9r0MqTHwvnmETyd+x8HC+w8wfoDJlvO5Lc+AvuXs+2\nRwTHUFowvXcJuOlqIZ62RSg1PU7Q3tbhIJlVgsZ6jLAe8wThWpk7Jk22OnfOSsGMP0cQVPeQLsEp\npF8WNOO9gtY5hHgemTFCpMEBASLYEPrurwwQwKP7wnM+cFuYeAYKuGwLzWuJvZf+BkxhyZ85+DT5\nCcGMupfe10MqryfYHgl4bhHxZsESeERwch0W0nNbwjj2D/Js88naVtYp6+tx/vl/MvjEQbKJU4k9\nzLgsh7YKkRJvv2Xjb+3zd9ocbMxms9uz2WxSqEJ5wV8dc4Fcrb1sNrsYFTke6P/duT8S1LG/bPtQ\nEkVRXNiV+uS29L/XjlrBqpJp1csUpZOiE9MS5/XLOz3fxOqVytq7FX6uw97OwSwgmpYy6H9uUXJ9\nK4MqnRx71nE/flz+6UODaV4iOFEGj2TSYA137mPBJMqo+vJ+PsnAn2/ncgqu6OKdU7huPGMnB4IL\nFRSmWJZn5j8vpqGS68fSuyJwDpxA3gl98q/oVf6B1uBPGDuYoqHsepbt97C6gj276cma+cFFnD9V\nxdf388/9Cqu6RRP67NSkZHG3XY1D7EgNlSmt47kCzsq3q2yY8mN2MDTtl3UftG/XQAc319jZPdyp\nrc9aPvIaX7npek9vPdm/Pfw5awaMc+G8O42+ZpW+Q8V8LWPYr9eZe/lLilu61U5oNuiYHdLHpY38\nwQbxn3ar0EEjW3ePZfUi6++eFNbpwR7FDeV8g4kLlqtq7XDrY+9FPgMzXHANx1ZiAJc10LycaCaX\n1PJ4iu+dEQZJUtAcx3PtQDrzggm7Btlb0EzVGBquY85cFDPmMwydyeEBXJTH5dczbjxDTsYESsoE\n622uQBRxINyXuIB/PiFocknB/N+AWmI5/DU+i6KxggBNCUKyFzGKaij5oKDcTMMlnNNARVvu+KSw\nM/eE66cHkb+WokrBaTY83MuwgnBNlUzbT/4kzriKgQWMnxwqFAwaxIQBfLyEa05gcB2TL+SMU5hU\nGAoY5k1nYpSLVz2Gs2cLGHAN504T4IYCNJBXwLhhnD4K5eTnGxrtNX3yq7ruKFNV32z3Ez0ULOOs\ncxSdMZvj84RN6e23dOKtff5O++syTrv8xzJOf++Yv3tuFEXnY2c2m135lx1ls9nHBEG6V3CEfD+b\nzR7+R8939IbpLuKcgge8VjHXwafqpFbGmbFLoqzP4f01eu8uc9f5V5p56DUzz1tsyQOzaEvQknLb\n7e/hjkjd9Fu0bHo3EzO89Hua3s/WG+1738eILyE106Hd9exh7+5hlNE3q4TF97HrZHpuEoKw19I7\nDQO99tEmtrfyiyRlvYHOe31WMu/XVH9M/6WFPH6DEFRej342r2NKkpcquZLXFh7DjnXa3jWOKnqK\n8hnJ7hFDuT8KIbOFWa1VDay/l4Lz+XLc8Dn7tF/R5cLWB/z4F5836sE1WtYP8cmlv/DlK77osUmf\ns/zOnb52/ee0RZXu+Mk15i14ysbXJnFz1vZpY20vH8fZ2TCNqiLn9d/lgUWXMD6ya2MTs2kZV6XO\n7QFuOaWfG24x55llnhq1wKpbZ/viRd/md7W4nS0zGT88KKTPpbj1Nmr+Bwe3srmOd8fIpgRNskgA\nsV/iDx/hA53cOzZUA4n1k5nOoWfwGPvqMJUN38MgdtTw6INoYNYIdi3CCso/vwAAIABJREFURBJH\nMMwVFEwJWXJ2CorHfKHCcc4ktk6ITniVzMs4MRCo9OzKHV+Ru7/8cE7PXm/UjHIAlTwzMNBXmi+Y\n8TuEnfvFME/6CSb+JqLFZPvYPkMQ6sNYmiOTeTxO3nvY+2NMo3MlQ+Zw3xS2PoH97K5jRRnlrWTL\nSL3C6vcLyzri4VW5a5/PPQ8KFu6tGEmyinWHWJeLPOjv9pPSW33phu8a8YFNLi+5w83zP8TTQ7hz\niZ6pM3l1tFD2++23fyA0/6vaP8SEoygqwpeEQfrr767yZmxaDV6IoujJbDa77e/2d7Q6r6JPpFVd\ndEDr5jpFs7v0PF8a1sVVadoy8tanjBi8VfJEdu0dqv/xUvGh/dK/zjf7Wwu9+tP5NHcFool5Kdbu\nZ/ZgFm8MsZUj4+yl8EPteh8oV3bOAZnRcUN7ttt3U6OO2wulurahlPRTgVJvX5zPT+WGJ0Id9/ZX\nJR56h9TXNzOmkrrGoOzcLUTEPLqX9oWC5pSgKkX5u8V/3iv9b5HoX/MVberW/VipxIykvE39elaX\nBPq3XmyIOMCw722w/ZdjOJxS8qkuvTcUi01ISxYWGHbxJk2lW7Q2Vft0+gcOxyr85rHTnT3lZTsL\nJmutrpLen297doiKYYet3DXd6cMeMXzzDj9b+Bnu5rjvPG9DY5Pmf22kg9HfW2JjPWUXdumYcCK/\n2qHqoyUOfb+GE7noG3e496y57I8zoJsB+5h3EnfezfzxPDwWi0N+f0+SQ/dycB7ZbiykYD7J7Xzw\nFH67jJNm8szjuXz4Fq46h1tXYAd57yX5OsfODYT9W3Hf3sArsO8OwZQuxVqiYWQLhYlyNeV7aC8M\n3ynBk+RdQjIpKCYTUBUwfFnyDtCfDYQwfd1CivIF3qA1dEjQajflzl0uwA8dAjT3DIULSKyicxtj\n38n6TQK+VBMm96yzWNLNiUN57vFATj1vAC9uZUAf3Qc5/lgeuZeZ7wpLfeM6NqwRBP9GYRdrpXFw\noH084qRymOL5dD8domMyTwsY8CHy+/jUFU4e+4RXGuZIrU7oe/0wf9zCdSOJ6nk+zdpb8L637bxq\nS/1twuwXns148bnMG39/5+uZ/3CtXDnrr2az2QW5v/8J2b90QkVR9Es8k81m78z9vU6Iu2v6W+cK\n1EBPCosx8mZpqDn4KhZms9lbc+fciEey2ezdf+8Zj1ooINadMf3wEpeMu0Hp7g5eyQaSn0Ups898\nSVlth5lFi+3ZOtiIHVvMbloonYhRRu+filV+aL9EfSJExDwTsagoKB8vvEppS1gjp9H753K66Z5Y\nrKu/wtobp+kuLpbue5B0H7EeHKJjDTbz81jI0jp4UCxeGkoY5Zdy68awVl+VY2NC+yPCDRShhEOz\n2L5I+l+KiNJKX27TuyVf9ZnNEiv79HSWqLigNWBnL0fB0hzC9vvHUNnH6J26FvdKXJ5UP36fgZMD\nm3BqbFxJZbstPaO83jrLlCva3PPLcy165Xir9k63tHSKPRuHee2m41UtbVPwECUlnRx6TdWCzQ50\nV7hgy33qJ7/E48RfThD162ivC8xRyZUOrUga+q0txp240sJB87i0Gl1c0E1ZE4/1k1/Pw3sEzLKc\nvN2Gf2ITxx/D+LSg9aXoayHTz542xnTT1kuimLzacN7yXkFYjCO5Mgi+8iS/2M3iQxzYz6WRN+pb\nSaAhFHzMGyOsmzto3ywIxTW593AiyQcFLbNGSNHdRfZFspvoX4V76HsRWQbMDBBQrDX3TMW5z2DB\noziZwnECPpvLxEu+SF81sXpKurGN2DG570ezojD0tTDDlNHM6eKlCC+RiDG3ik1bqJrLsns51EVt\nWW5S7WD4HGaNJzEzF/vbiEGhTI0ZdOdSZjNt4buzx4ax6S81fd7zUjPyFJZ2y3QnVE5uYfAQWgZx\ncBebtxKf/fYWbq6l4/G/+Zl3ap7Pf63gjc/faa9iVBRFw6IoyhecS/f/1TH3C1khRwTx4VzV1b95\nbjabXZXNZhuy2eyIbDbbJEAE07PZbLOwE5+a66tEAODX/aPnO2o1VuOzTM2IrcsoPL9H00fXW/2D\nWfLi/bLvSUp9uUT5t5p1fL1W9tWYmXcvlFfRb9HXT/Tla77s69//pmjJAdlkFZenuHMX54zgl4so\nGsNFFeyJG/j7bfZ+c7joo70SN8Ylp+QrXtOh9zdxmfabQy0gLd4gOf7Xz3LDEqbFWDaea4t4vFN+\nZ0pUXKhvb35gn6pE8iC7FwtazUEhBCGP6Z9lzxomjqe7P/h2yguCz2FBPz9IE62lYQbtndxWwpee\n5LU0C85gUFb+4H79/+OAshXFOktLZNcXihp7VWTb5b2QVXXBQS1/zFpw0gv2VA333KEzVY3Yo/21\nAe6Yeqkvd3zVurH7mVrruOcPerVrluoP/8HeV68Vn1sgffuTDBsdcvWb2xjQzIjJfJgh3Vvt+uow\nVv06kEBnGwRsIS7EXO7CMcxOUzaRp7NCCupeLKBsAx3T0EX0NFFFjgA7X9AsOzCaquM49KSgWNQJ\nc/8IGcsaAQ89HX8KFHrZUiGUYlluzLcy5P3s2i5ordXCjrog10+L4LVfLLyEI2mpWcFkyBM01M5c\nn/O9mcZaJgjw3blrbcn1UZo75oTcOKwXNMzZQhWFIxvC4dxYVQlacY8QVzcZSwJhUOZIWZfVOJmq\nURy6XwhZO0nYNEooWEDfo7m/Y7m+x+SeNS5EKDzADddqHNth50dGBGi4biVrt5A6QOl5dGwSHIIf\nf9saa0u29C0dWxd1/qNwq594M2TqO1EUfVDQXH+dO+anwsvswjVHSmD/rXP/Rv9bMOsvwq1uFIDx\nCL/LZrM//IfPeLQK1qaFa0wf/5qHV54n25un71vF9G/U8GjCT5d8WluszLMnzXPfc5drf6jSOe+6\nx0MvvYNtKYmdaeVfOKBzdQElMf0/K6T+kIaJSftWlTKkjGxKSUXGgLN2KazpNiq+1Wul0+05f2RY\nS7taUU1LM90PYxfxs/j0NL6XY7GKtzCwkl29gf6uYDlt44WyGQUkU4KEbREcjXtQqeDCC/S9tius\nyVl16kfca//W68IayB5mfU/od80isrv40IVsyqj6UIeJY9Z58brjGFjI2GbWDlB/0zb7Rw8Pe/MY\nSiraJRdkFX4lrX3MId+46DteKDhXzZ5DHkueIRoY+WX9dX6+8n2e/uZFRt68Wl9hgQOfGiLvrANS\nk4r0jFkk/52T9e+L8cJLzJtJdpRBP9lqz51N3Jti02/4yNWqRu2SnFKg8/YqFvWwajmxrMYX6u1c\nNS0kafxxbyjKl59m/T5O6ubhJI1d/LiJD26j+DDxk7gqyzd24inOPZeH+7hmEGt7KejkxZ0cV88z\nrwgCbWQovZKOU5Smpzs3k0oFc32wN8tgZ4SQrLuF0tBdgtCdRFSagyv2hXdWXUHXufTdmOsjzqQ5\nrHpdiBRYmDu3Au1BS83fRt7FHNvHGdV8dhf1MY4dSXsfPX2sKSGV5NQ0LyYZPZBTu+nrYHENJS08\nXsK7+zlQzo4DHCrg/Fqe6ObCLmrq+OkBWrrof5QB42jeIJg5OTavwRcwo5/nW2jvNOL5lN07Rupb\nXcxmYgO3yDy0jwNNzCgUXd4h+8GHyHz4bQvWvdmKt3TswKjtqEwQOGqhgJ2Hhnrw95eYue8Z7zjj\ndjXfbBafM0z5zV1umPch3+39gkdvPF/Ros3yCxda89hk1lPbdsCQL+7Q2LTDgO916X+xmkwBUaF9\n9w/ncK2Zpy6TKEuoPOmAslS38u4eq6ommFf0EjMpOecwg7dy6AXSmxFRfhrpAjrjVDSiivLjFD8w\ng8qRVK5Xfctcvj2KYdUMLWVOAR4L3Gh6BEhgkppPtDBpDD8ew1mV9ldeJ3ZSWl5jn5KGfVQ1s/EZ\nZlVx2SzHNbyiadRjDn1xv51/OsCWKChmv96i5vj96l8/wOVZtRfvCVDjY9Su6dD4o62+XPIH3775\nczZtH6qkqV2mP+6y6Hb56zKeP+d0+eWHHPu7P2r+t4Eq9r6k44ZGPfeUo13/0q7AbZCoCgt8DPsX\nNygY1k15btN48QWHbmzR+fF2nkoysQxbyBy080NDg5b9u8NsL2b1Syx9he7XA0fBCUMZVMnPyuh6\njR1FbH2Rb6xjXD7GUTSYQf3saGdkFQcbGTKRjlKMZeA55A8OOfjR/lzF2K25mZ/znosLDqlDQmjj\nYoHB7HkBRrgASbJ5xEeEeFOn0jaRwiU5U35jOH9gjMFRrs9txK4W4ktPD5yssRriq3h8G/fmrrv/\nBe57mqdvDzhy24OcV8nGHZTvZ8xhvrWd2ztYvZUVzZR0UlDH6hxs0rmXX7wSKlM82csXN4Z44/RD\naOC4kULoWSJ3rxG7v8sDL9B2gKJuzckhLrrydgUjOllCdWckVlPG8fU0VMl+tpjM8P+U9ZuWeEuf\no7X9lwrWKIpujKJofxRFK/7if/8jiqJdURS9nvss+IvvvhhF0cYoitZGUXTGP+p7+Jmbpe7Ns+R7\nZ7p9xbUOdtUpnblP47XbDMnbqW5Ws/YVVVoenSb5/DG2Vo1mHgcqG2zfPMLyHx5j9/WNKoc00xKj\nvyxYVfksLZos1Vug+phmIyas94nB33dx/G4vdx+r/JKDurZUUjGN9gR9GzCQ9jQWG/mJ1XSnmNwl\nL/662J+zpPbT1aX1zkruyoRKmadOZ99EzKcwLsR9HUCzS8beGcq33IGftiqY0yUTi0vuK9DV1seW\nDpJdbKli3wAv1p+k0EBOHmD72ItCRtd+9B/j4Kp6xY2dPBM5sGqQ/Kt6nHfbXQqmdFhz93Tfu/jj\nmr5+WMGLvXYvq3ZoZ72m/G0OzyiViW3Q/0S1P6z9mtFfWGt/xzQ2Z3kwZwpnmymI6D9MzfoQprqw\nSN+XitmewWR2NnDBcQyeEvhqd+z2BqN4TY34Vb1ka4iaBfd/zkQfW8WZ5QyoYXYxqQZG5WFf0GDX\nJTCSNa3UZllXHxTQc7oYVU5vEgs51E6yOne/xQLcMo/MVsHzc0Aw26sFYXqA2DmCcD2SaPNoKNaX\nXxS4WDPrcTdRgkGzyKQpeAdOZH0bhSOFgsMzyPwJl9G7mvRBkhfS2yhwIZRjF6OmhWSIcz9I19pw\nDy9niM1kUBMLKkNGV0EDw0Zx6URGVLCnn54hlDTRthIrWfonlr2INUHDTQ9BCUuGEDteEK5TMJ2K\n9zFneHgf6UpF5V3uePg6BTN7uIYDrb0yW/sY1iVg313+htP8/6qlxd/S52ht/9Vbwr8LhZN+/1f/\n/+FfYxRRFI0XwvnHCx65J6MoGv33SmC3TFgp25Yhf7NLx3ZZ/qnZOi6MeerUs5VWdohmrpd95N9p\nqyDq5wvVfOeCYG23CqXbf8LhRZWBk6I8MuKbG2z5/Ri25nMTnR8s82z7yR587lJTHlxqwO0tTj30\nolvOeZdsM5YXYh57lgrY32k2/2BYIGvemZI8PFD++DSdTWJNc1mflJme4J4orOkdN+E99PxKMBfH\nY5QbLjuV4Rud94NlupK9ulqbJE+J2TJ3vPgjWxxMzGDmCMU9r+rLO9Z7z/+515fn8etm/tyCwcqv\nOKD9ybtInScqygT5sQc7I/f89kp9TUWiMzL6v1pm73HDJefFrPntOH+8/mw/GPh5W78/XKajnPgv\nWDfR3nGjae4LCt7qGI5jwHDelWBphuU1Sn9zQOefa4MsiuXz+z5a+/nFnXS3UnodQ2oFfG87Bc9K\n33E8exZzcDveIeCQ01h/cxibx+KM6iU1hU1rqRvM1+OcW8u6jXSXsrWCTxwI5cq/t45Bjby/jPj1\nbN1G3yIBF40LqvwfBex0AjUp2lpCqJJD2JGLHNhO7GQyt4b76I2F/0XZ8Oz2ktrH2uWCI24EfXey\n41hOrmfzPkH7PbJh9qCNigIOtIVMwRduxH42NaKYBx8KSQROC3y1O3cTG8PqDF3t7Opm6zNsayRT\ny4CGoGiv/4MAWZwhpPbNxhbangjPqIzWPrI7hSDqbdhJWzevjMJqYimD48WGzt5mUPs+D9x2CYMr\nFQ9drG/WKOmvyI1Ly99ajv/H7WgWmm+l/ZdqrNls9kVhtv51+1uYyQW4I5vNpnLxYRuFUIe/2doa\nrpItmaZv5ina42VitycdGjtIydQu036yRPbUUeJfepfMvLGy487kV+e589iL1Lxrr1GzNpg2YbGC\ngT18LJ8BkerLDohvTvFHzpj+AOcze+ArOosrnXPZPU686WkTyld5fs5cRRO6uD3GadMZXo7d1KZJ\nxIN/44oqTqyjYp2u/GreTzSbggd75F3bL/9jJeIjMsz7NFeWctVJAglIObaa/uDLjB5lZeMk2bJ6\nBRV9+hSbcuqrCq+dFsKG7hukonyG9LQBNlSOlU0UMr6O9muZPFfVZc30f4hxQ4wYuEXRbW1GfXaN\n2Cn9sh+N1F2yx+cmfUNmQMLBYQN8duT3Fb4r35ofDnP9ou/69vlfIa+asdOVnVes9TMNVG90xiN/\nDtluULHD4FHbMJuCCTp31hp7zQqxS/vZkqBwNWPyqR8bGJIO/Dvbq7n6fJwg3jiDEUciWyLBkXsP\nc0o450p2p7ismkOFJO4PTGOnncT4UoYWsGVM0GwvHExvLXkJzp1J0wDxwwU0JYJPMbtbEHBJQcA1\noZVjSzj4W2EZFHqjFtSUHIt/plXY7B7zBl9rtpiiwhB+VBRnxhVUltL5KDKMaCQ5ghFTsI/YfgFS\nGIIyPlZA9eiwISQvCf1f+56w+V+2gMvOonwkH2lk0DQatjMgzsAmpvQy73w+Mp2B2xmXF2Ro+Vxv\nxs0e4ZZdxtnXU1yISRy/keyRagodzH8HtVdx8mxi04h3G1+zSmPLXg8svihA/8OTSi5bIP6zQnVf\nbuG0emIb/96S/D9qffLf0udobf9fYawfjaJoWRRFv42i6AiK/dcZEbv9x2yKN1o0NcnFFIwqtHvd\nCOsemax3fZne4fk2NwzTs79I5ckHlM4eTeUgCiNbBzU6eOtAVzXdJL+8V15bSt7TfXTR+o6BNr5r\nfMAJyxvE1qTct/Yyg2J7rSmY4MGaBe5ZcbldK4crerhHormbR/tYXowJgdkodafo7G4ebaOVWF67\nvD293Fcq/cQDpq9f8b/Yu+9oO6/qXPi/d+/Te1M96l22miWr2LJkuVdcsY0NwaaGTmgJAZJcQsdA\nCARTAsYEN9yNe8GSZVm2qiWr915P7+fss/d+vz/WFs5NAijXyeWS8a0xztA4R2u9da35zvXMZz5T\n/7YiqSeKZE7LD0Hh+7q4a6XfygfqtPnIDHlb0vZ+7RSLH79ItyLHVg/18uJzHfr56OA0dDU5cnQ4\ni3npyQvt3TeFo9OYmWDaQAeemkgNRVe0SxckZffk27ljvCEzD7m8/iHnT31KVJmx6FNP+cLYvzGq\nfqc5p7/swdve7djTNV7aMYHiLs6bZ0JHn2mXrVI47XTPffwKeT/vQ5pUs0MfHR12l58lrzylq7pI\ncW03NUfpmRzoWI1NnD2S4oX0HufRR/CszKkV3JMN6l8D5gkVTGNWruKp5/lVOUe2BJsbfSCQ6Z94\ngusyIUGr4EGOx7z4m5De/6QQNK89ILMi5uVH2b1WCEbVhGuOssIWpYQVBzCH9NPhd9uImlk/hMR1\nAmyQFIzxAWG59NGzkXg96eEc+TWtdeHYbiQ/ZtueXNmcfTmh83KByfAaX7mLnibsp/gpjOSBHxCf\nGlJUt7XQdSRgz5nF5GXY8c+k99I9lA197GgIUMsSgZgwuy83fw5TOoVEebjnLT10t+C7rK3Odd4V\nHtLLL9P8AMtfInuc/m7zelZ4ufBMiZGxitOaOXBU07MrpbKFGh4eEhI8svn/iWX+u9v/dIz1v50V\nEEXRSDyWEzAQRdEANMZxHEdR9GUMjuP4vVEUfR+vxHF8d67fT/FkHMcP/QfHjM/62wXiTMLLyxcq\nmTFH97HLeOBZZUdnekfenVaXztT40DA9c4sde9fQUEBvH7qPGvr9fkcH1Et8NiszICF+LUFDmvPy\nKeySX9igv71CwbwShc/3Sn+sQN++Au6OxDURzQ3iV56kv4C8RfTWkLiX7HlU3U9HNfE4Bk7j+LO5\n4BjyRgTl9jhL3jmkXiTzXuLbBGpNAfZJnPYX4t2vi7tfJFtE8lz59w/U/9aHSY6lcBupC8g8RzyT\ngs3yK0fpnzZM3nfKpWft4itzQozmoZTE6Ej2bQlDZu936N7RHKL4Oy0SV+dLyffJZV/34x9/XF9Z\nq54tA9RU92lua2HxCFbvUr+mxHkTn3bnt94ruzshqsqKv7ufc7MsbiUeRd4mvrqAu4gGZsWbj3Jo\ncSjm+PYLuBbvfI6e84Mh7l3BbfOCM7gXx3dx5DVhy04g5hcEdf1Fw1j8TChjUv4Wep7BVtJvJ/8F\nsscEGKEr5OJP3Mbe9aRToaRKPAOrKJwZSl97RcA0NgvF8bYIylbHSHyI7LogG5n3Eskz6X1coET+\nRthEdWM5URSYVb1VgvHtJO8WEqtILafkKroPCwkDMwTj/QjRJQGfvmY+Dz1H3vmkl1Oymd5xgZhw\n/eU8uoxkAQtP54WfMvtK6mpZ1sXIXew8yk8v4+u7WfsaRlN4Sk7su5vkjpzgSzZIVsarBKZDbe46\nisi7nvwuuiN5f5+SaKuT6iqUtyqt7oaHHf3+1bR8icImBpWyuRs/eNOsgPXxhJPqOz3a/ifJCvi/\nblh/1//92+yJKIqext/lBBT+7bh48v3rffit33V/+/VerM6QLUEeTy8I2YP7ePf3bnP7rz5k3BUb\n7DyrPqdluTsc5KL3sublQPA+2ChsBTsEd7AYrQFjkyHbQunpQUu1o0kwgPcJQGlSQDtyKvMlN5J9\nid51wmIbIGBfJ1IhU0Q5wY+4W+Aw5riI0RTi1ZhM8Rh6mtFOYQV9VX7rbdQmibroLCMupe9Rpl2p\n4lNJvdOLZO7Kl7n1Rdc/c8zme6fYWFAt7wO10ltKVZS2mDZ/tT2bJzh03VrOupgzivjBRhJV7NoQ\nymQvnErXPlP+ar3W41OkBubrnFmiu/Z2l64c48m5kzhtBGvvxhCuHcWD+VjLtLeT38SaO6j/M0YO\nDDGpB9bk9GO7UcjC2XSNYc0DAvY3QzB2ebn31I85lK+hdyjZbjIDw8uVDOc9Ub5GXu5Zt4b3YICQ\n91+fe27DSM4js5Wi6pA5FdcHClTeC6RqvMF9nZ0beyS8L2W5418oTK5UeH/JLNkFOdHtkblzR8I+\nuknIatqZu5dxAqWuR/CeM5ROJ7WS/i3CVj4tEPrbw3yQCc/J1HAPQws5nCdw0+sFXL8pd+6R3sBX\nG3LXu1eAPU78flygYh7NLaR+ksWkDxBNVXlXvsSqfTq3nCM7OCHzQB/FL9A2m9Q9jLyJfXfjU2/a\nsK6NJ59U35nRlj9Jw/p/AwqI/CtMNYqiwf/q/64RJHYIANvboigqiKJotDATV/6ug+5ZPMZ3fFLP\na2U55f8GtNKVFcVZavd68pfnih65R99PylQPXSYs3AmYxbiExLwDVMwXFMRqhEk8QvBmLhAW7wiG\nzqO8lbJyYVIeFkjVI4WJPEXYm6bofo7eLpIjBX3MBdhM/ia8GmodxWOIC4PUX8EEkiOEzKA8DKGg\nh54VfqvxWnFAIKRPx8OhlEkqQ2ILqdcx3ug5j1Ieu+DQUybYRnm1t7U94NiYgWw7qqKh3aTp651+\n/nJrDswxtHyfxOBhdG1WmtdBYw/nV5OYytunKhjcasbHDtt4zxXSzzQZ+vQxlTs70ac3vyjUUOra\nIBS328fxPEbuCZk/9RhVijKadrDnRXaliYf7bXUAJezr49wkTg8L3B2C0Xg9PEvzsZQZVZRuJZMV\njFShYDAIoPbe3Ps/mptqsWDcIkE0pAR1ZPaGd5ftyEknNZK9I2QTJU4UGZyQO/9rSAR6lY7cz90U\nn0gSmEpmYi6gM42oPhzP6eF9l00UeKx9All/PMn63PUPxNBwOvNJnpG71n2CYlZzbn5V5q7/Ueyn\n+3S/FVFRH/rlTSFK5K53OInXiHbk5maNNz4O63Nj9+WO2RIy0dIv5ubey/p3V+iJF6h/62G1FzQr\nO3MtPdPpX03Zqew7lFsfb76lJU/q50+1/XfTre4WgKoJURTtj6LoXfhmFEWvR1G0Tsjd/QTEcbxZ\ncAM3C2jZh34XIwAG/dMB+w6PMWPhaiWP9nD69Zx1uYIJKYVzepV9vsKsj2yQf/cles8rNOq2Or4w\ngA8v4h9P57VIddEQags4pZRho/m7t2IXNw7l7NM4fxaD6jm1hicnmLBzB+87h7qFuTTGOUKGzh7B\nCFdw3UUkzg2LzkucMx6t5LdRdguzxjBoGxXT6C8n1UbmdcGzWYlKCm/gyoVcfyNfvQI3ccFsPj+a\nj386bK+LJlAxhtIMb1lozwtXa/9ejSe+fI0tXVM4d5ZrfvOwhhGDVH5jjOb8IbbGp1qxZr7F0xdY\nMGOpD/1wmYk/Txpz/VbeNsc5H3iJO4cp+ni793/lZ9alzuC8rP6r8nzsm7eqvLeDGR/2QvPF2E1R\nO2PHYSiN1Xz5UvrGm/KFtYzrwFx6J3HG2XTmkbdMwAKPoY+Z07irn6ElZHZ4w7svxHnMKePCCxly\nAd2X5J7xAQF+LxbUt58WAn+J3PilFF8qpKPOEj5Ok4UdyXoKrg7ULT3CB7KInkfJtiNFYlS4bsPC\n2MxZ4fl7KxpylXqbBA9wf/ibw8SVgmFfjEF0ZiidnyslPhoFZJ4UtuL342X+opD+Z3Nc6M3hOMVn\nYxUfGSt4sMup/DSigN8OnMXgBThC3UHmTiK/IPfMXiN7IFQ6KK0Mwu3GCIG7AoEhMEnwbMd6w8i/\nxOAP6E7V6y0p1dJcqbOtVOe4+eS/SN5mMsXcNEXwqN98+/8x1v8HWxRF8ZnbXnQob6jpxa/59Veu\n4+kMR58xZeNA49M7HB9Xa8fhKa4dcK+nGi83cP9WKz8wiL5TGFN0+4ieAAAgAElEQVQeYLUBz3Bg\ndFiP65+g6lJa9zN9Cjt7+PiYAMcRHNhv4IpWmtM8sU7wrsYK3kE+RQV8eygf/geUUzCPmqkc20li\nU/BqCsbSfReJa8nuEqJcg8iuFDzqw9zwdh46Sv9OFDJqKHs3B15jto0BpSR+w7ECwVtuZ9YU2tuY\nXU1BYViTK/B+IYnoBgxgyIj90gMS3jL8Ubd/9sOu//4dSqIudzzyQVVdDVpvHyA5My26OZb+QL6y\nS9q99fN36/t1g0f+9u16OkuMXX7MrkHLgqB302Jkyb+Yj00NNmcTTmvjF21UbAjSipNw3z10nVDV\n72fyVYwfwLJnaO7yRurnMIHrWhOez4xL2foKva8KxrJeMGo9As2oCjuIriU6TF4TqXnCdr7TGwpT\nBbn3tQzDSaaC+n6yOlcup13Y9vcLxng1xgUR6lSHN3DZkcI2/Vi4dyW5SXJM2LYfF7zodkquo3tj\n7twHiUpI1IcyMpOGsPUoifnEdxK350RlnhLoYIPxItH5ofDk1Js59BuaK4WP+UykKF1G10gKh9CX\n07JN5JM4m/TdgnHtEFzkDsEhyIZnW1ZFZwvJDfIe/zPp5gGiX2TYF4kv2sc922jrYupEegew6WF8\n8E1DAcviWSfV96xozZ8kFPAn+0lYsX+22YNW2bmxmuVpalfRkmfb0kka+wY5+qHhnMcP/+WTXNJm\n77PttHarn7Hakd7RTlnUbPj0XZas7lSXqHSg5gKjS/fYk51Bsl1RzRZ9W5M0HxHvqORoA0Nn8+gW\nRg9X846E5obpHOxhcwkDNnJ8G3/3TobPpyrJts0kCon3kzgDG+jPebfZFcI2sYXsKRhIspLMYLa+\nHCCCQYWBatPZHMqB1B8gXUjzK0RXMOk4W9cHvdDCo1w8xJWXPuLpH8/T92yDMY+U2rtigGyyWVQ8\nUtxX4MirI6jm9tUfZvEh9339lmAH7t+stXiMoXOednjNNIMXMPLm5+1tm+mOq9/FnmKk1Ja8Ytd9\n87CComHBO+xZQkEVvzxC1dZQ82pzAVWNFC4IfPQ16CpkwEQaMuEDMzETRMbXn0nzCU2LKkyi/tXA\n4ezcT+1W4kaGzKWomUw7hafSWMqULAdbaJlO9AoliVzdwGSotdVSzaFxpB4Ox83rJz0Q24LQtkE5\ncepDgmf6L+Fv0cEcPekwqWECDJMzkFWjaF1MyaBQmnvnc2ig8GYqllA8if0DUU6qWDDme5CidjzN\nHUQ17E3iGKdvYmVtOMe8g7x8IVMbOdTLKRfS1h4cgMS+kPJb3svo+UStbG0MAa2uJKnmcA69ZMsY\nWsDBfIxjfFcgMOqjeGOgb/WdRW8f5TtpeZvJJXtteDSjrKZYOi9PZmeZKJHUnxgv6iiTWVjK5hlv\nxBffREv9CVOpTqadFBQQRVFprqSBKIomRFF0RRRF/zW8i//DFn2MTeest/mWFolFFHxpBuMToh/l\naZg6WCKZUfWj4xx5VPJnL9B0GgMX+OgHH5TtHuW9//BjtX+WcfYPI5/46oPMGO+v//5O5T8h8fej\nXHRfk3jeSHHfXG6azFkLua2YIbO5eqizv3pE1dfGOOXnpcyt570X4Xy+V8q5c+ibFqLYyYnIUJim\nuClI3FUPp+Zahs1i8sWoo2xKoNeoIH0GUyuYMoPzJjN3suqN44M0YcP+QGPqi9n2DNVXcO4o9qRE\nv448+sh1+p7r4obT7b5mMr+qYtsE8d8UBBnEX/YoeKJXySOdRAckfvhM2F1/4BT5l3L43EsUzqt2\nrG2oNZ9v0frlV1j6AHseU3rwlz76wUf46GY0kdjG5aMwkr4dzBvEsLMlt6XZvofWqRx4mDsOsTFN\n3nEWVDL3DFIlrKvjG90c+JXgKS4VAkB3cSjLggzDkgyuoG8eR14OhvLUCxg4lDOyDB7EnIlkYlJX\nsOBSyoZTXMDQcRxPkvqF4FXuJxuHf6sXCjuEM4XtcI8QSS9BTQ6DPS6wNXYIkfQOFFAQIUv3cM44\nAU+cR1+WudNyXvkSPEf6RHnsFkygp46K0sCHzZuCd7KyI5S6NobtBSFFdX2KxsksvY/Nu2iexPpl\nHJtERzuv7w4wUyKfw6fj9eDxinL3WsDkjUKSwq9CIcba0cinp5Hdh8N3vekZjmyit8jk8lcVX1ui\n49QKPZ0lUs+V6Rs4XvYjE2UuHspPnyc+Ic325tr/dIz1pKCAKIrWCFGYagGRX4VUHMdv/++9vN95\nPXHZmYfV+5VtqQEc7qethq5xis/cqKc5X2GmzqSqFdbH71Tcf0hPag0HolCQrmpOLtp5hKoJHN4k\nBB1W4QoGdYbte/5CBjxLy8LAOaybyfYW7ObU60i0O6VimS3l56q57ojqzk47P75X9MUp4rUlIQ5y\n62FOG2PoX77m8I05cvali3gyyfn5Ssc06b8qNr1io6/0/I11xef6y3PeQ3+LsEAKKWwPFJqLbmTP\nBt4+j53H6dzEw4Owl9EXSpY9LtM3OsAADVUMfF5RT7Herll8cRQ/udfgVIX+gflK40P2rx+gYCqp\nvjo2xSonr9PW8h4SmySrjyopKlTU066hYBids42qvt/elTWkh7nxu0+oGZb0g3eOp/RCzlvLk9up\nu0hx+XY9A+Yb9YnX7L1qV1ChSq6mczAd24UVnaFgNHmtZMbQl+N2ir2hvNSKa6lI0P6wsJUdJET5\naym6gkQ13atJFpI5jh0MOIOGBgGXmC5gqbu56FQW7+LvFvHN5jBnLox5dhWL6lmSx4AklRG763Np\nry+jntpLKOsileT6iGeybH0QlwqQwQlVqjIBC94vQAqThIBRkcAjvUTwfA8G+CTTGXBRJ0TrSwVD\nHwnBu21UV9FyhEQTySL6D4Zihj1DqNgU+rU/GZ6JSGCZVIbjFK8jczapxWig6EJ6NwsYdRelE+g6\nGAKhP3qfvzvnc/7++58Srypw6fzHPPmzJP94Ll/DtmYmVbN58JuGAp6KF51U30uiJf+joYAojuPu\nKIreg9viOP5mLvj0R2udy++wzRQhSvmUMAlf0bP1VApa9B3dab1R2KhHlRAnK8IrtA6jtYxTLmPz\nKiG/dSNn1PHKQY4dRS/9z4U1aUegPjW/kDtfJwdilWcd1Fc20cy3bnR8fIG+/mr0ibdUM7yXuiFE\ne7l8gLKecmGhVTEuwcRDlJ8mm803rfd162dcyJBvuzd1feimAz0kh+a4l6Ny2YjVRo3fruOGcmP/\nZbeVL2Vo3MyekTJRdSgMV1dIx3oSp+vtqCI/xfp82t7maGI9azo0xTNIHZNa0YMlRB/X9nol0Ubi\nBpl99Try8nWkcwvQg/ZqJxqipLxFd+FYx7eXB3L/nOKAE7Zvo32pniHzya6w9/mZpLs5fiLltyZ3\nX8PRF0SjU6fjPqKzcx5Xba5fnmCoXqH9NL+NtkfFgTeri94Hcu80kWMMnIYkDSf0CJoEr3MQSugY\nTirB98oCnOApnp+C83hlbXg30UTG9LBzT+78w6mfTWV/KOm9ZRyPlAZHcNc4+l/xhpzgiY9Dv4Br\n7kMDQ9/N4R8JQP0uAZ+tCXoP0f7cuEJhsl0qBMGaBBnBwbRk0RYMfXRJuK6egjBH20cKbIQugX4W\nCQG7ynC8QeVBFayhhqbxnNXNmk5amsOz6cpiAtktrOz0xA2XuWbBwx58aJHjU5AdYO7RrVY0pIhm\nUlF1UuvzD7X/6SmtJ+uxvoYPCYW23hPH8aYoijbE8X/RvuA/2aIoik1vUnFbk/alQ1Sd2qd3Y6He\nX5cpuPmIeTett3Th2Rzr4Z3FrEnJy8QKbsvq/lVNiAsUUNbZpvP2BHvLld/TqCNbw/cT/HnMjyJj\nPrrF7t7J/ILElWl5U/oNSR7SUVaq+fNDaIlpzbItRW0uBbKgJvj1E7EyS32Ckd2inn66ysSHkoEZ\nc7NgX77Sz8R+tpdI3HvEsNH7HH59qvTSUkO+t0vv8XIPDnmL7fFEBVLe/9gPfeLC73vuyIX27B0r\nf1Sfxu/Vsyri5SOUFbnm1/d5KPluvtDr7R+9210D/txNo2539ys305fgc5Q+3yxakdD79T7+V7Vs\nZXAqR35hm33Lx4pbM9J/lQ6siffEfCtNbQnXF/LVRiYkzbj8BV+f+SUXP72Sb7Qq+E6FVLbIkIEH\ndA5t1XF9fS4etYlFp/Hocwy7moO57fjCKtpKOX44FBWMG/02IHTKvJBdFG3na/P5q+V0l+MwH7sk\nFJBsS4UAVHkbVeWsSXFVadAueK2E1pXMq2HZSjJd4aVbIBisiYLBfVUIVJUIW/5mgZnQKAS/pjNo\nBMd25/qeR3I3mS3hBS64lpdaiZYSn0deOzWlHP+pACO0hzE6idqoqqdkFId+TuIa9FGYR09EZUGA\njI43c9kQnrgrXGOincGX07QpwA2z57HqYa5+S2C0PL6J9YcEfLVcwHQfZu5HWLEEVUybzutLwv0V\nnkHfc9RcQfMdmE0y4WPLVypf3ueJt55v3XNn0BlzdxQAwwNCddj21bjwTXusj8a/V2Ppt+3K6Nk/\nSY/1ZA3rQnxaKE/wjSiKxuAv4jj+2H/3Bf6O64lD6HkjepXvu0zX5yplT83jW82i6gLxvp+Tno/1\nlF4rmX1Ndv5cceEGOmbx0oPUXkfrDyhNcPHFHOomOpWa2KzPrbBm3gEGZ+maTHWRvHePlF5TqOCU\nXqlDRUyK1V23X+O6gRQWK3t9j87e0ebduFSjAXY+MlHdu4/4xva/0FBX5bOL/5kZ/b4+/NO+sOFW\nmUHEixNkU6685tdGbNmkd2K+f/7Kuzg8XNn9xyU/l6+4olvHrgrFF3U7f9cjtn9smvhwZP3R0505\nc4llf34eW7eya52wmI/w6bfxrVs542OUFOZqTmFKzNMrKJnGGSU8/mWKz+GiBMt7FX5snr7DxfTs\n5/YYbWFnm8lRmSpH0tvEvPkKErHU6pgvF/PKUQU1Q6R2FlFKomWHRT/c6IXJ5ULRvMeRYuB8jp+G\n+8gbRHqfQGXaIXifG5BPWX3AIbs2UnJ9KEniHsylbF8o39K3mM6IS9/Dk7cKke6ZFAymIkXHHvLK\nSKXJlHDlbFYXMbqPfUt4zyIF57VKfacklNye3MF9SQrzGdxJXjdzByk97bCupwewKsv4LOlKfnE/\naik7lxEdbLmHuArF5F1A3M9FjSxt58rR3PUDgXY1RvjydoXnYbDgqQ4TMruaBJGXlbl/Dwp0sj7B\n0K/ALYK+0TkCfNWZO9bbKDtIZ33uuNvC/NcsqKjV8oFqbltMamC4jpoCyoZyWsrkz2z3l7P/wde3\nfMS2M0fy3uFKVnTq+3CxzMsJfrxYEPT+9Js2rA/Gl5xU32ujp36f0PV3vSFW/Y3/oM/3BOylC7fE\ncbzuZMZGUfQp3Iq6OI6bc3/7ayFNL42Px3H87O+77pOCAuI4XipEFk78vlvQWPsjtmNBuCIu1vHh\nSpr6ac4jXSNuuJd0vVxFPLqekjGT5f2Kb8jTs3Jd4B2OPciKq2h7hl8dZfZYKteyuN2azkVBf/NI\nQYjIpxdL33Eah6dJrS+gNxYNyuq5p4qqIjXzjrtw4lL3vj5K6ah2vcVJXyz+vM17T7Hh7NMcaRsi\nys+IX87z6HXXuPiCR40v3CY5KaGptMrBdL1/Sv+N/PJ+dvdSRuf1tfzmqLaqbVw8Sdfewe49cBUv\nDHTRwl/LfrfJsn+cz6BD7G/AfMpSgT7zrRcwkVde4fy6UGcqvZTX+ojOoucBlucFL6u7g1dH0dWo\n74mDQXD5cJlQaG8WmQZhQZXQtpmyRZRXSb1G6aAnjKyOdRza7cC9c5HPsOOy+dOsqTtDoDHnjERy\nB42d+LEg7N4oYKApgQJV6rflTfrTxIOwh74NAkRwFjbSeSp96+g/B7vp2+wNXDGfVBeN5Simb2+I\n3uclmFQYgj3l+Yy+nLtIjS2kOF/h5Z36Hq9W8+ljWjfHsl+9h9k30VOkd+BwBTdm1I5tdCQeFvj6\nc26goINlr5I/Ppc2m8R60o/jIPtuYMwgGsoofH+Qj8w0IRNSVfMa6Xst1J+Kd+Si7VXkVZEuwyry\nLiS9SvjwdGAciedJnk//DgwPfNmufdhFZ4fgtT6BIgqHc+HNPPYkxYcZexWTBvL6PkpLaY5D4HHY\nOE2JYrf2/5Vtq8bSvYSjI6TbHzdpwSSb1k4PugVl5wTo+022lN9ZduUPtlwg/Z+ErcBhrIqi6NE4\njrf+qz6XYGwcx+OjKJqLH2HeHxobRdEwAbPZ96+O9Z9S3uPkPdYJgsc6yr8yxnEcn3syD+K/ukVR\nFPtGzBhG7Fpv/46J/Or5YCDefWOIN1Tvcs4X11j8icuZkqdkS7PE2fk6H1nK+87kwADRmn3ijtGh\n7HThUlquoWZtqB+VN0RU3CBuLiC7m+HXyZufkr7zcdLjadySyyTaIQQlJmIgNS8EqTxTsIzCS+k7\nTMFRSsqJL6fgNzQcFII0q3Pjq5h+CcfqKPl50FqtvJzKf1E/tdaR7nMlMl1KB27XN2Y2px7R+5Ox\nNDSzt8GoT221d/FFZI+74pPLLHn6bO1NtYZdctjgw8eM+dhOu7ZP8qmir3lP408l1+Tp3FIR7OVA\n9K1n6EjGFUnuyZOd0y9uyqe6maMDgzO4u4vlh/j2OP5sB1fXs+Mxdg6jdyVFRUa8c779Z81Q/51N\nDr0+lOx2gfs5iSifQXXB0GR2UdEVxEVS55O+Uyhx0IDJJF6kbGzAfLtKQunoeDsSDO0jcQEHH2B8\nMTsGUzSe8aPZuZFUP9UV9BaExAQPC0Z3kGCc0oJ1yMv9Ppi8iSG1U4fg9a/LjblQwEQ3CcyBMsFD\nXIhHhG33QEH0IJ0bWxc82c6nBSwklyqbOF/QGGgh0xsSSaKaHKyQY1oUDCC1IHec9bkZP0AgVI8N\n86X0crp2U5amcyvJWWTa/DYFNtFJtjXsvuLBYR5qFQTklgoe7BDhQ7YbSYqLld9zucmNG+0dPlrx\ngA77np7I1w5Q+irHx2A02X/GZ9+0x3pnfO1J9X1H9ODvKib4d3Ec3N6TLCa4RUiBG/37xkZRdD/+\nXsgEnZUrzfJv+zwlFCT8d+n2J9rJBq/uFyz+T4W398dvq/BL9vePdvHSpzy9+GoKXmZNrGb5Yc1z\nxlp831h2/JSNfUYuqnR43GV862qOxFwUSc4dIv0rvKee3htDZd+aqVzQwuLh4nPHc3nCgIeGaTgn\nKVNcwMvX8UG8f2JOpWifsHhSqOAr7+CDtzJ5MnteCTn3B9J07GL+zQFXPXgRD++n79fCYpmNQ2xN\n0Pc4w99NzU7JL0Vqp14qObTbd4Z82heavybTOlXv35QExa6huLGGO2vs3dzBqz9h8p957P2zzG3b\n5tWoTtOsWMV1Re57659RwE0HHmJ6TCqS/GiPzAPFYbdZPD1smC4m25SVV9Wv/8Yijj3JwIs5dXAo\nE/LpCdz8HXyQI+v52ds4/2l6p/inJT+3sabdk0vLNfxtAdfsFqLiK9EZak4NGsXRpRTPpmQZl9zM\nz3dRtJDe13CFQIs6TPpyhrVRcgZbN9E7F79h5i1BIvDgKYw5hx09vO0AZ+TzySwjWjlnCrevFsjw\n+QLLoNMb5PiIwgn03Ya3kP6hsLWuQRPRW8lfQ+qXgpOSJZpG3kzin4a6ZXJBTkeF7OyjvHcw942k\n/Se5c+3K3dNPyA6hIqaoleOjyS4Ox5yRZd0wzA8KXrZ4I5i1P8z3wsvJ1JMeRlczivjUXH6wi6ZW\nwUhuF4JcNbiA6uLAmbWfoe/n8J2CkW7P3dNZqKRiFH0b9DQWa7u6THXmuG3fm6G66riW6lVccx0v\npVjzvJCU8Obbm6RS/VslvIP+vcTof9Sn/veNjaLoChyI43hDFP1vtrzeG6lC/AHlPU7esKbjOP7h\nSfb9v9N2UP5co47vFnv2S5cGXnnvfAXPtUqUZILDWIJz30tRbM+RHoNu2aftz1Omf/Cg9V+apXBS\nt/TAIl7I8MrzjJ/HsiPsHMKpu6gcyzk01A1lMfGpSWoO8K1i+u/ERZQtoLOJRILsBj4/H6PY8jRF\no8KO95Xhkn3DmNIv05/Pnm7SGYGN8AyGBKZATZLGuWFX29coe2iM1rZq1Qv4+YB36XtHmYFfOKZz\ndQ1NxYF4f6+w81tWH4IS40udf+urxmSbvTr2QrMv2GdLyQxjF28w6vghr3TMEy2JdbVUG955yN6n\nx0n+tE9mSaHo7oyqIc2SVWmNdw6mNUXFDC4eFNb3wnZ2VjHqI+xebtq0Eq/fFYV6XmeW+H5XvZ0P\nTTBt/hpvH3SPr5V+MyRO7J1IURe9Hay/H430HGHcGTk9kKNBTtBQgeHRiYjpnRTn5xT91lM6iq5x\nPPEM8S7UsCVDlKsl9lSKrm7MYN0JPucGwVu7UJju24S1dCp9S4RMrheFdZIVsqlHEb8WWAvmhAy6\n1AvEceAhO13IrLoca3IG+lVM4KcNgiFvzp23TMBFF4a/tZfSPl4Q4+nHFnae+8aL7G8QJvMWIdiW\nDvfTt4ZBbRxbK3jeDTyZz9QrWXeEllaic4g3hWv2AG3TBa/7LA7/SjCKi8N8U4kDQYmrvYOCvSad\nVWGcPZ5PnSMxPi2xr4doIL9cRaZMMN5d/weL9d+3P0K66u/1sKMoKsbn/BeVSDjZu3ssiqIPCXuq\nvhN/PAHs/lHa1FjnhhrD5+1WX3jIq4tnMqpF6o4RGmuq2MWMS1da98Iczo/0Jks0rxxAplpnbzMZ\nutZkg8NxbkTrdJp7sYkzR9E0LMgA3CJ8q044ELvLGJli64Wkl9E5FGvIvgP7mNPM00XIhOJ1i7Gm\nX7a4m32F7OtgTndQmX9+ibAzOULPDEZVhXXYd4QFVeK7dkoVT5DX3+9gxUj94wvl39fP7DiwiCak\n2BKz8hi1FSE3vDBpY955lj9UzrEKO+rK/fWAv3c8MVBj0UCTjm227qIZ9j0+VmddKV8g2p5mfaH4\nk0ktPxugbtBRJqaZVciRGcHmNCA1grw2vl3O1WV2lk8KWW+ZRuZN0NpZo/KGVi0bD/naL26mq5dR\n7VQm6cgIhm6fYBj6OHiQ0ScUqoYJ3l1X7plUMSrDUxHD+oN6WU+hQISvETDXfCoOE/fyYjdjGrhs\nJM9vpmZY7oUREgEKwzsxUXh4Pd6AA0agmIIuUiMFKG2bYIgqcllbp+AYBSNIpcI7U4rZoQSKGeGe\ndAu7yFOEQNSZgljsevImkB6KNMVVOfWyLjqXhGvL62ZYMXvLmTGUdSvCM0uUka2kcYAQ6FsX7m1d\nEWPKSHViJXFn7rk8H8ZlesLc1Cd44idEcyLhSzmWbHV41ulIwXaiorRRPfvtqCvVvayMQ6O5IcWa\nClofF7zcN99+F91q25Kjti059oeG/1s1mGG5v/3bPsP/gz4Fv2PsWAHqXB8Fd3UY1kZRNOckz/e/\ntZPFWPf8B3+O4zge8wcH/ze0wApYLdzragov4R1xcPA3p4OXs+MOkheFAn/2CwHArfzkGt7/Y/76\ng1RFPBtRk+aRI6InBpp9/iu2XDzD0HsP2PaZen72E1xBMuLOScGh2c27nr/NkaIhlu0/2z8Pe7ev\ntn/OhrvnetcHf+AUm+09Ms4PnvgLUy5Zo2Rnr5XRXB7Mlze5W3pRseGjd6gsbLXx27MDjP4JYRoc\njUJl0g2ljO3nV08J77GB6ReG6p6nxEQxf1vMvFZeLaTlVepm0XiHwKO8WCBbtgnb4LsF13aR4BXW\nUjA5iMDopOo6Wh+m+i1UvMy+E17Nz5Am+bdkHufjb+FHTXyshlsfZcCVxu/ZaMdnB/JPe3Jj7scQ\nSw7+1KJh70EdySvIPIwZnDoulFXOrhOi1y8I2UnFAtPjXAYPJ17OsVrBwzwqxA/WCJ7tUcHzWszA\nv+b4r3Pn3pG7972CsM1wRp8XMOS/mK5gTa/0i3tkj67lC+8INu9TAiHhZdzdx8gCyvtZ3qH+3g6H\nlo4y/qoNdry7gzVrhdTXH+Ze2E2MTrKnE7/IzckcO+GyiJ1pEqPZcpy6fTQuy13fWMGzzZV2kRfe\nUdXbaH01dy8zcxd1XDDYFbn32ZGDTlYJ3m2uioVUeDbFV9HzWu5atgve79uYNjQcqu5+Np5Q5epk\n+kEWnmnau5ern97pqQeuDRS7syJ5mT61Tx1y7O7RvOOp3LUn3zTG+sP4lpPq+8Hojv8IY00KX77z\nhC/cStwYx/GWf9XnUnw4juPLcpjsd+M4nncyY3Pj92BmHMctURSdgrsEdZ56PIc3H7z6f61FURT7\nSKv80zL6n0/x3MqQN66N95yt5Iak7k+lOdLKwDpG9NLYzuqDnHsOL3fx3lIFBYulnl4UMmm+vpxB\nfTQf49oLeHkTA89k3etUlZIdxNGnMJpEA3PKVA6skTnWZ/igV+3smqb/YIJjfYZMb9eULTe2tMaW\nlfsVzOmU2jeClmJaupk/iP4yyeEDJA826S/YIz+/Vra5Vjq1lZ0dZAcHPK9tF2Pb2LWa6mHUTZAc\nkVUStejYOo70ktx2ejBDTzXx1i22vb0MLcwdxsE02STZYoZXMzhFSTtzi/jUvQrPezdv7dV3axf7\nYxYWsaco5JkfPsaiJC9WhXU/uI0ZBRxOqe46oGXTPI4+I/+Sc/S/ci9N52ENHzhP3l1rZaPpsuOb\n3fuOzyhI77VkzBW+98IneLqJ7S/64o/WG1G7zHs33umcQa8oHlosLeWpX17Jb5rITzKnRlHRYf0H\nyMyo4ycHQtnphRkeWcn73s6dhxmeZHABHSXM7qK7kYM1LNnotxlRhR0MLw36ut2NjH0XR5OkNgSZ\nv7aVRIcY/xZefIJkbcjD786ncAuFI0MA7n3j+Ek3t7TSF3Hra4JAy2OKP3m6nh3DyCuT7OiSSZWJ\nhpRKbnxCenNJqMow6i0K3tHmW+m/9NnJn9G9vdTCU1davm6cxOhy46uOqYwbzLLKD1tuUVedkVnd\no+r0/XYsP4fX2yk8wIvTuJHqUQe9deId7l97rfbxI5xa/jM+dBoAACAASURBVKo8nV77zIUW3vSg\npV88h/fVsKaL3mWmvW2o1x8YIXFGnc9f8glfuvXL7Fwm74lzzLDZhkdnym7bq39L0sThBxz6+1nG\nl2zV/0KrjavHcMfEN21Y/yl+z0n1/Uj0s99Ht/pHb1Cmvh5F0Z8LDt9Pcn3+SfgSdOFdcRyv/V1j\n/4Pj78bp/4Zu9R7Ba/mDdKuT9VjzhZDNwtyfluDHcRz3/8HB/w0tiqLY++Kws9vdyPJ+Uo/jHD48\nLjg0P3yesiwHpjP6AFv3h/5xL2VlvONy1qRZu55MvuBldFHUQm++QAWq9dtFWXUarQ8KnsZOyi+n\nZzfpduwgWUFmirCdnS24z3lB0Sqxm8w0rCVvdI67OVDwNLZTt4jG18JxHMHcsK3PHEBnEFlJtNGV\nEjy6MeE6knFQSbIeQ6iu5MazuO0InqdwEamdIWhkLMObQlG6kTOIO1i3XzR4MtEKcVfM+JmsaWb4\ni4x6HzteywU/ukhNY/oRGjMcbs8VpqvDGZRX0XGv4FFuEbysISTGGP2/DukeMt2UszZZuWGOjp9U\nh2/+Y7tdum2d1IpiRQN79Y3L09VUpnVkuYKfdVv36OnMjlCs+KJO/Z9eL906KmREjZlPdjUHGnn7\nxezZTc3Y4ABWCxDok3KiVsdYciKTKU8QQ7kSh7hoLM/sxGHqmsNzWZPLpFp0KusWB2HzzFFcJmzB\n9+dO0sfQRVw9mTuP07YXHVw5ipZhbC4iuSzUkzreRfFjdM2kdAxRmcJ3NBo34JhN22pZMUzeFaul\nm2ZKTMvKrsnzyY9+zXe7PmXMqB1qNVm98XSzJ69yef2jvvnC57W/nuGRgd79zA881n61tmeqpDpK\nfOKzX7EqPduK28/W/4u0aTe+4PWPdnPWJSyL8EvGX8aZI+lj0Kf3OfaFMp6+g4+/j2X7WL+beDJV\nNZKXVcqOSioe26m3o1j2Y1vITn/ThvXb8YdOqu+notv+JBMETlaP9YcCyn9b7mdW7m9/tFb4tRYX\n/8OjnFdH6gkBF2sLiTFj08w9nwEXUj2IvNODklE8jguvDZUwWyKKmhg/QjAE6yioo/d0YfG08+5L\nGVRD/lC+WykEBZpQS+cTJOYK0oHTyNwkBBpGC4ZutIB7PUZmtEA5QHqDgCk+JQC8G2i8V9iLjhFS\nc3eR6Qv34yx6qunaIRiGdwqA5yoyy4VXODiMm7XAgC8fFWCSCq4fz4hSZPlqFYWDmHMWe8q4fAga\nVFV+V9WQ0xhVSV0aO6h8X9gyXnEa42dw0yWcX88Zp1M5hasW4hAVZ2APHccEDO9RvMDks8Lzyw42\nt32v7w15lx96u8VTF4ZbujOmebVJdZvddNkvHCweblj1fl3jCp2Zv9y6hoWsK+BrBTzELfN/pODC\n6fTVM/fM4ByO7qdvD1dhSTbAnbnvlPY4PJZ6vLSKxAoS04SA0mj8Mry3F54UwgZbQ+XUNU8IEfxW\nlnyL1i7i8XiH8MFL5u5zANXvI3kK50W50tNteJ15MZV7Q2aqIfy4hJ8OCh/zuJ+e36h+5rirTnnO\ntR+5l+HDWMTf3vortXccUnhut2hRxqYzJrvlwp84s3G5MeO2y2ws1j2y0Fd+/SXtv6xlRR/7uf3J\nDyuP29304TtUFTS5bdPHnZK32Tnvf4q+UlsGBQnGaX++meSPUOHU726ghaLLuqWLiimsIapjRj6d\n4+R9/2LJ4UuIDxuUOaLwpl7zKl9x2fseIvlfk4r6P7389cka1tlxHN8cx/ELuZ93CW7ZH631XVxl\nyf7zWX888PWSOXD+dgrv7QnwV3N7IGBnBck1L/DsA7S9HiqN7sHeQrwFeaFOkSV+W1bj1/fSN47S\n1/h1vsA17EaaRC2pZUQLBQrLg+R1CHjmcGERLxBW/FLB8LcImNjlQjClSQh6DBICCicU8ksFQejB\neIqoITdmFIm14fxG5p7EiXIgS8h2aXhxaPg9r5rHGjiY0zj93FqOHGLZr0MufCoQ1Vv6FmqZWUv1\n+LCd1sKupYFS+hvsfDgYqzI8eE8ob3NeAjeEmlK6cz95QnBqCltbctfYZ+ZlW5QNovG9ZT6374N0\nHw23Lk+lVp954XvSp2Qt71jg9hc/6K+3fcugkQe5rJdRvczioS1v0/fCq6RXhxLQv4pZlyU6jduR\n2Bq+bwcFGuqzQiDouaXUTA9b/+xj5J3gho4Jz7h0iGBoK4XpfEPu/9fm7mU62awQBGvJPe/BqKB+\nQxh2y93oJZHGCOU1WY4PCHBnVMxnEwEWTl5LXgsl/Vp+NNRjHVe7fd0Hgl0/lW8/9Tnd66vUjm0w\n5i3bHP7eKPs6x/iX4+9TE7XIv6nLnnsmGTjlGGMzppy1NEgU7KajvFRjXKvzaKnvj/6Qm/3Cde5n\n02pzigKL4PVVEym+GAl7V06lmuyKSNPRAYzcTvJ0vpei+Jj0l56XaX4LUysNHn9U4e29Dp8xxMqD\n84iP/t51ebLtf7phPVkoYC2ui+N4V+73MXggjuP/GlLbf7KF4NXDnDWCZR0WffoJO0x36IWp7NzJ\nuCvYvovOjQLv6lVhC18jeV1a5ulkiMgOXUBDKwNXyb90qv7jJQrqV0sdHk9hLbtag/xcZm2o4z61\nSGFfximWe235Io6OJbE54LJVp9G6O+wS2xKcVsrabaGAYNROyQBGdpHMoCPEVRJVQQzGq8IqyQUa\nzvo0B47T1kRtzJBOekaE3O3+Bo4XBopXWR21aWoHsT9F4yuCoZ0mGOlV4f5Pn8vq3VR00N4aBFMS\nj5OeTkUTs4awP8OBMjKVYSv9+vZceZhBSAXl/dTdVM2g9TiJsWSbGDWJvb/BYEbWc3Q1/dMCmT9O\nKPv6BQpHdmtN1Dn1p486uDdP7ZVH9aYmaqudob26jNfzLbj2eS99d6H3LbjV3W1Xqurr12SE4pa9\nOoZ2yI/o+edJ6sq7TXvrjxwxxWiva8q7SpR+VZcRquKElzrrzWwosCh7q3hIp9dKJ9vWO8eRvaNo\nGxh0Y1fEjN5uxqLd1v1otJqpFTKlW7VNLpdoKJfccVx/4WDFC4fqaU+xsYTdG6mrDCW5Zw1gXSPn\n96kYntDVPNXw2qcdWFWloPwU6bGN8mrG6nkyTWcXs3eqVKivulZh3gbtvygWV4405otZu29eyryP\nKHZUakClzEXFv9VPHzD4kJrKZlOHbfD0znP17alUd80h3d9cJzN2oQsP3q39grFevuscmTyyT+01\n4JfljjwxUsmQV3W/MtWQ6kccuX2oMe/psjtvFD/rZcZExu6SHDLa8LMb7P10gaiw3dRLH3c4cbbG\ntUUsaWN2sZoZTcYO6DNv7F7fjz7OrQk2RG8aCvhS/KmT6vs30bf/JKGAk6VbfQaLc4BuJLhL7/pv\nu6qTag0sq0OxJed9gzuzEvuOyyYjPpPHjTn1+GQT0XjSHdgqs+W9FO3mujN4tpHheym+QP8AXN6v\nbNpEzd+qD9mcNxUGQvftCxTkrZXtnOL/Y+++o+S6qjTQ/25V59ytVivnnCxLsuUgJznnnMAYjAkm\nJ5M8AwOYHAdMtE0wxoADzlEOkmxZtoIVrZxjt0Ln3F1ddd8fpwwsBozmAW/WzHpnrVpSV91z89ln\nn29/+9tl19Rbdd9N7NpItJZ4N3rofAhnBG3UR25j/YXkn8rsSpY9Gqg2BzbQnU/6LNL3kzdBgAPm\nCsY1H1dRf5DeAiqO5dRuXi9gWzOJQ3QcyhLAZ9CRQ94iTh5KxV5ePIt0juAtPyUwAHbx+hYsYOi7\n2HCQzO5AVrea1rkseIXkoBCYKauhfmuYEOwRGAnL6b0ffUycw8oueu9h0o1ZbdLBaOIDJ/O5zSEj\nLdqMcdpfKte+vJSPRtY+F3nnvI2GjzysbPgaN/96Lsf38S0WjT+T5x5y5wsfZkyZjhs4/cqnzX/4\nPHbTdy5a0kbVLLfzrTdobOivr2imYaN22Zm4wM6vTnLeLQ+z5HhzTviOK0o3W2GWhsxoS+65IIiy\npBt4Szkv38nrU2383UXsKNK4PZLfW+fS7xz02GdOk3t1h1Rzmb6aXskO8q5J6fr9GbzSHBS8Zlez\nYDHl17ri63fauavDnAGv++brn5XekpAaM0wqxriMKcO2Wf/2uVo+FTMh0v+kSNezeXp3RnZc9yCG\ns4mu+leoOSfc8mE4m8PPD3E4Z6DNZVMVvLtF6rlCowfvtPGsU5y8ZLH8W8q83jxTbwPpFwro2afu\nU9VUj9D5kwzHFat7ZADWiE4fq6h8pM76Eha+yHtPlX6NXT8vZ2KXeO9w22aM1JPKl7e0R2/f4ySu\nMerclT584TcVJ9r98MaPc+ifkM/qf4TH+v9pO1KtgBeiKBonkABhcxzHPW/W51/f3ikEcg7wcBeD\nWkRX9ufeTj7bKixPz0A3fTuFtWwph3o5vIlfPiYEJNZjElE32+o0fnoqjZsUvTxI59SldB0kqtfr\nVNbHDtcMCiyfxCQGxKGO+7oXmXZyqDba/VFyqhmeYs8vGXYzy/YRTSPnKsZtZMXLfOd6vrwunJMH\nhaVoC/ZzydHsqGFLhl/WEm0KdeyrRjBhDBv3hePHS7jkbO56Fn3E6ew9yQh8xXIk6BmIKjatE2hI\n5wmBmEo8w6BzqMuKOHc9zcEK4jcSVcqEQFsrqlneRLoARWz8Lcm3k8iQ6cdnWrPP5kkKLw/Sdk0x\nrXfxudCn8Oxcyzceo/zlbdzWyKEqGtq55SEyB8iMZd9OnrrE/OXnsWwnh+pYNJ0tOyzPq6fzODZF\nZv18mflXXeCaH/3GzuXDPH3LpayKPXXmRR6edQ2F3Fh9R7jMyfjtXr7UIuDYCxw3vM1LfWcznKLS\nTo8suVZiRFpNwSHHvv1R6xdNtzGaJtqbCrHMVMyg4YF4YzAP/kHRtztFY/p89dUvh8e4VoiN3ZEx\n8mtLrb9lNB/uNn7yIlt+f5a+Y/P0dgyg7efZd/J0OnYJuP191N7ItrvouJ41nUwrYUWku6GCth1e\ne3COxPNpT4y5jMdjpsWSoxrpfgT5jDmWx+4g1Y8dLxF3Idf2H52geGIcwgnxAT78a859C4s6QuDu\nndV0NDF4SMhbeXEmSztsWDbRB1fe6bwvPsKqOg4+9s8YvP+rl/lH0t7UsEZRdHocx/OjKLr8L34a\nG0WROI4f+hee25u3s1qpmsITAzm4jk0JaQcVfLxZZbxP3aJprD8UBDdMZNtejCd+lbxKLjxW+fZd\nWhqvZe+LYan+wmDF19fruLNc51dW0FdN6SzanuCoLnpi5QcWaMmMZ1AcFO5Se9DMph3knUX7WkoK\nMCh4nevqyRxLRzk1L7FhLDlr+U6a5nUhsyWeJYS02zCaNSleXRGoOVaRdx49uTQ20lYREhNkSJzN\ngz2B6ZAoYfBgTi7m3h4hm+iGoFbf+gcUMjeHhpPJrwi81Xn1lBVxTCVr14QS0HUHOPV81q3llEms\nWMagC6k8zPY0BSl27qEvRiXprwlGvFcYtTXh+XTOR7NB55zu/EteNHZXm/tzL/XU9y5RMbLZ85+d\nZeSJdzn2nGor+01RuDXftIEJi22356lJlHdTHHHNKCVH9dPzy1ypmYUsP5mXMgxMmv/+Ipp47YmZ\nDCvRb8wBDU0DDayo1b2zUGVZs9sfvEj3ys1UDadkayDoZ3JRLf2FXjZnyLwmt2Cvkuc2aP9VneLj\n2zz64rlydmwS99uks7U7BDtz8mgrIN6FdXRN97sfnCm3cxeb+mjYb/yYNlt+MlH1TYftuivNtgK+\n3Kj1ymJeXenAVWNEnWvEV1xIRRlrdxl8SrG6p8pUfuE8jduw7hpDfr3T/v8cS2nM1zJKCprE86sd\n3bLU/k8MUvfTwSQimThpzLSNNr37AhYWS1yccdYxzV5cP1t3H5UFhZp+dYhZvTq2rmFIEW0XURmT\niIz4j50OrSnU9duVOifOpjpXenFuiElUD5e/slPFLY2err1I0QdydN50OfH7/uHh+3/dsL4pxhpF\n0ZfiOP5CFEW/+is/x3Ec3/imOw9KMdkiQjK4M47j26IoqhTC5CMEF+rqOI5bsn3+rjxXFEVx4o5e\nxbUdupfHolMLFf++QVNRqaoZvabeutKKq0/QUVdKWxu5e8nfw8nnMqSDp4tFX+wT/y4n6FOcH1PT\nJ3d0SmpAvoqOOs31QxkZ83wU8NBGjv/Wi5btP17mxWTIdtpaG7KTnuwJhPYDT3POeaxaS/l0tt/L\npLez/jEqLiPRSd9+CvfT2UrbFIGytBW1ocZTZh/3Xc4ftrGlkPKSUBywpiB4TV2LWdSVvZ09nHQG\nJxbyw/lUxMo+PkXrp59k9rt5/WGGXxbiZhsEQsGAcGeTq1PSm3Il6l+Re8p0fc150oNylXyoQe76\ntKZHawKa0HaY5BamzmH1IgMeGuHg1wcF+GB2DQ392Z4VAho3K8TYivCThTT10397lWMyK+wsGG77\nTyaa89GFFj5/LuuoOXqxUYPatQ+ttq1ovL6fFEjfl6vfJw7JuaDLNVX3OnxooOJBbRJx2uz8pW56\n/S4nTZ6vf1+9YfV77Rw4wpOrLnHq+AVe+NX5zrj0afW1/awdPk1mVbERUzY5aejL5m06V/3Pagz9\n3D77Liqi4aCa2/o5dHAoDzSH+zK+nKWtosIC8ZD8wLnf0EO/XGraeXAnRVWcP5TVi+SOGMe9RVK/\nKGcIk8ettGHFzICM9OG72X8L0HOIsho57+uRvDft1KOeVnBD2mM/v9qYGzbaWTdScmVk1LnbZQpj\nB9uH6i3INWn4Go1xpT0vT1TS3axqSpPx/ddbs+QY8bSUopUpw+dut2/7cLsem2jqMatsHDZRvJOb\nz/yWb3/o8/z064bcdrme/CL1txcyuobzicoz5syeb8ltp+iryjP2stftOjRWX20BH46YscZRP+92\nyaBHfO2lLzrn2Cc8derFrMj7hzHWm+MvH9G2340+/78SY/2XJghEUTQQA+M4Xh1FUYkQH71EWMc3\nZCsRfAaVcRx/9s8yHI6VlefyVzIcoiiKzUnLGd0nvaVTvGIh6c3Es7noNOrJ2dur7+I2frGVTB2J\nqeTW0XeA5IVBFWnzKuIx9DxNNAKDyNtJdy25Q8ifEbKNUpV8cjbfWUFUT+pigW1WKZQzflKI+KwX\nGAZvaDS8Iiz1OwW6Tr4QhV4qzCnVwnKwQuAwLwn9i5bSuV8IRE0KBQkLd9NXSk9J9lh7/bEiQu7o\nQCfLHyt3YKnUzrsoOo6eGoE7W0rx6fQ9SDyT7mrRMV3ipdsprxddfyG7dotHVXPXb0XRDPH5x/PE\nVjofJjODa87kgd2SRXXSXcNJPU5iJpkRgnd8HPlrQkmZvFPI5NH7c3N+farqt9dZ03m0g38Yquv5\nUnbGLNnoM4ce0NpUYP7+U3Rn+tvXOsLJc5/3yufn6t3VqXBRl76z+it7b4vGm8rltD6n79JT5e5I\nSmdypUubya0SPU3BrV16fl0g76huiVl03lrA1xN8YZvc3n1SbQdDEcHSetp2EY9nyInk9mPPbRhA\n/nF0dWAYBY/Tk0/UF7Lc0i3Z552bfWb5FByi9CraVpCuI72F4Tfxjgy1FYFVcWgPHaVBZyD3IfoV\nB8imZYz+S8scntEnecJk6d4cid6MQSfttf+FkXL+0KvvO7mSg9IyNZH4laQhP9vmHbm/dtv6j0o9\ns03vxGNVnXHA6TkLPPKxq6WeyzVi6XbvHvpTt371a2wilcjjN1/l1lv4yo/onULUxecuYn4sOapP\nZmdCvPS3ok9fJH5uD5s303cM6f2SszvEvWfKfDKh3/QDGiblkB7wDxvWj8VfP6Jtvx/d8r/SsB4R\n3SqKok/8lc+7oig6+s36xXF84A1x2TiO2wX2+FDBuP46u9mvBTYigUR4bxzHfXEc7xJcub9UrQlt\nf0LfgDzxlkNBRzU+K1xOQ8TFkb45+WwoDPJ0/ceT2UD7BkaMI/MSIyJmF1BwMBSOizaHKHd3HgWj\nSaWZXEHfVUw8jl/E9OsglSM423MEQuULAv6YFlIyn8Q2EvsFQ7o1+2//7PY9AgOgh+iNekjzBG7q\nIGzKKuUXCIketeROpqOdnuGCkW7I7uMwRpLqJbOCrl9KzcghOYVUBelHSQ+lp4zGHxBPpl8BYwrF\nfZXBO86fKM5Jipsy3P0CLVXi3izM0bWGvn7kz+T+pfQtlC4spX/2/CrXCaDiAawKOfOZsfRuCrWh\nDFR7ZY1SbaqLDvlc5suBBjoXA3b5fusn7Ksaae+CEu2vJvUbVueiB+fpP3ov7VWKv5yUc0WvvJGd\noqGHpWafLb67Re/hNdKb1rN0v2hASjzgNT21+Uq+2aJ4Upt+qw8r+lQHayOSCam+RlLjA1OhNUOc\nwDQqatjzPTKTmHAe1UlsCefYPZS4j7gmVM5VkP2khUmyispRTE2SqA9i4ZkSJsU8tD3LpltNzU6S\nd1PWTOpEyqq58kpOP8HhvimcXCbd3m7E5bsUnt/pwPghhnxjl7LyRmde/pSbPvBDPzvzPUwk8WqO\nopwOQ1ceMKA5QSKj4ZkheqI8J356oRlfvV9BX5cnei5y2onPS61e7yNTbkWBweuWkTMLk7hwFv+5\njD2R+KJYXNZMX1K8CkMmkncS3a1E4yWPP5WpEWsSRgzaKUr83Tz+I2r/1+lWR8pjPQbv8yfZrZuE\nVLE7oyj69JHsIIqikQJpcwkGxHF8kGB8/RGY+y+SXn9bnmu8YJNmD+DVLYK3uCvYrxfx3F6GHqCv\nm7ouUiPRztbBdPWwKg4yfc3bqbqM0glCSHYt3a+hkGV7ST3KuuUcfpKOs4UDnBaSBjQI6sT5gneZ\nJ+S855BZFrYrPZ9oOC4TMIU2wRAfT7zWHz3Z4uNDhpU+Aa88Ibv9iUGnwAiUhUwuq/EwuQMEw71X\nqOl1Pr35wXtNPY9pJCKBeTCBtm3sWs2mRpbvwWBa9rFxF4s30JQI96h7J4t2kxqHarrmZRMW0hzc\nQ/3icJ0Nc4S5crDwKk0lpyiU8fY8Ruq5r9jWVRNN6dvgxyUf4Z6OwHDYH3tv/e2eWXyZd35ynoqC\ndl23NfjNKdc5vHEoW9aq/1SxrqU56r4yQuaVp1n+Gt2bSY+n9zAHx4pfz6NzikzUo/XqHg3P5Nib\nGKxz02EaG8i00nq8oKQzWZi8rsBzjNhEv4+G92njXezNink3Ppa9r0UkxwoGdZTAZz1JyMirpnML\nw3vpTNP6YLgPq8ppn0xHD6WDaGij71panwmTd/0U7tvHkp18Bq8vp7PA7u+P0tFeKr0q1/5fj9T4\n2kDPb7/AA7lX+1jJbSyn4pRD+lIJm3aNkVMWiX+WZj4dq8u8ctlp1t4yXtyUdGr+QksfmUNT5LYD\nnycaqTZvXEjj1cCaCgYNYDCZn+Wx/xDm8nohm17OUnbr6L5X5vm7xemIQ2z57VRx3/q/Ohz/u+3/\nN6yhDRUECW6O4/hmIfOqRkhxveHvdc7CAH8QMNN2/7Uy+X8fj3juK+F9P9wlGMQ6HEVvE3MP0djH\nPYtxUpYS1Ye5IW8e9rSSHIGzQpHA5kXCsv2y7OnsorpIACe7UE/7Q4KnWk9qGA6TewE+QWKcYFyr\nqZkhkNBfp62QeCF+KOCi9eRkQsVNB/DhsP+OV+iaL7DcJwmeUT/spbdbGNSNWYJ2PQaEwFne23Gd\nwAYoZEEaI8mbjkNBytBEwUiXC0Z7t0CE30bfFJ4vCVoCTgznmOmmd7MwB54qLIH3hmNqDwr9pmX3\n8wEBxtgslO6OAhyQcx2Js13zznvsjscoyWkzaMB+Gp7h9+2o9kTOhfpuyHHn7g8q+WC7EV/sdlnD\nva4cci978ui4ne/cF3Y//F0caCbewetPcDhBZg0v3kpdA99+LFQqfWkB+3L59cP8/hB1ZQKQPlN4\n3dOClz0qBO8O358990JhwtoirCoOYESAjqzJ3v9CktX+SGdrGcGvXxSgnMO4gKMy7JzHr5rYdz95\nBQICdgYlF9P4G+qfo6B/mJOSTZSvCgkZe4Rwcm/2dZ1JR2+pOUMW0EXtluG+9LNv8VKBg+UdLEqS\n4YWvnCP1jVzpLx5t2Mzt4ijS/fF8alczpYV4FGt7KLkEKcZFbD0cXvXhyJ8YEmwGpAOHNt1DZhMm\n6OsqET+aUDqtSXtVGdGuvz4e/5vt/3r56yM1rDX+TC5QECIYEMdx1198/19aFEU5glH9TRzHj2a/\nPhhF0YDs7wOFBEr+ttTXX2n72PdFVt4ivOinYz5rF7G7XBggFRTtFgZJQsio2Rb0Mz/YSm8tFpAY\nLVCzpmS3yQ+HblhEdLTgHifQS/Lp7O/P4zRSu/BVEnUC3voEjcXCkn2xABl3hJTBxF4UhYh6pkFw\nxu8WDF86e4yziBKC99smDO7Xs78VZW9JWXb7ofSuwR0CLL2HIU/hx4GRYL+QKbSG/BvDPqNRQspZ\nefCEczrIWZHd/2oK35o9n6TgiS4kkRY86FLBI58uGNVyPCNMACOENfRzYf99PyDzI4dXD5AY22Nx\n+iQ1M/cx6RIKhiJP7b6h4k8mlOS1SC7Ocdbw+e6ed4V777mQY6qYcAlFJ4UM4G3rOCo3+4wyRLPD\nM674OAW55FzDB24gcSUj2znpciYlBSPaj+IiYSZeQWIKUSVvL8i+bqdlz32ggDxVUPQf/LGUdGn2\nWgdnFbqyqcf9RzHzrCy3ZjYeZ20D5Sdy1gBKptMaEdUFJkjbkySuC883v9GI92+nawg9UySfekZ0\nKBMecSGTL3xNTlG3gTvrfD1xC8fQnC7T/327OL1bx/yRDNnPqbGSWxuVb2rk0af0627QpFL+K104\nxvjy5eHcMwNp/154rq/1cF4R6yg4vSN46ukfcVIb/QZhPTmnY78ozmHWAm2//L7cW24JBTP/CS0t\n54g+/1vbkWZefV6Y394wjBcJopPfxR1xHF/3Jn3vRn0cx5/4s+++icZsYcK/Frx6U3mukHn12xBl\nz9Qz47Ns2EDPZgp7ePu13P5rdJN/ND2tWEdiLFccdNTpIgAAIABJREFUxQOdfGwiP1wUhE4qBzNi\nGEPHhoqX507imXuYfnnAIYuGIEmiiKXbsl5gUghkFBO1ZZXf2wUu6rEkW0j3BdJ9PEjwmiYK3m8l\nBVPpflLwpNaH/agQXIZywaj2E4ziuFD8r2mBMNiPIq+O6PQgh2dwVkh6U/acWrO3b7ew9O1PzhgK\nNtK+JrvfNqH2Egygfy4H9nHUu6nbh5jD7dibpYTtCNc3/jy2PBeOmb8/RLuj64gfEoxUQkj5HU9m\nF3OHMWZamIse2qzmk2UOrRjIHxbK+eSJCj7Rov3KmlBi5LU2pJQdN0DrlAwHxpo6ZZ11o6YFjug4\nYb4sCrdAWy1lg1h9UOm1BarGNah/pFreuJSuM3N0v6UirNyfWsiG3HA+BbNIvUTuacwawCvzSI5n\n+NG8JeapVlI9bHiVsZPYlUP1Bto7aS3LnsT8cF+rJnHWGF5bIP9Ts/VMKzSyZqvpY1d6YuGlzEtK\nP9JFdIiecRInpcQ1kej+QzJ76qkaRnXSGZtf9EJ0Cs8WKHmhW3tHuTkzFlr8/X6Mymf3OAXv7NA9\nr0QiJy1nTErx2HbXnPA7v1z2br3zinjkJeRT1UH3BHqaOHMq8+7Aucq/3qxl+wh+sYARF7hkw4Pm\nt56u44cVMnsPc/cf5H7rHVILK3j5JVo7mTmBa0YxnAvOedCT513BsgXEp//DwasbjlA3/67o/f8r\ng1dHzAqIougYYR1MqNb62hH0mSMkyr8urK9jQaV7Ge4XRuJugW7VnO3zd+W5oiiK5TxI7tFB2OLW\nCQZO3+3Ak4NCgkDeOmq3kN9L11UCvrafwhs59kVemUzRA3RMI2ohv5C5J5Jq5uZhfPIP8r58vtQN\nz4o7sgLNpYe46AYOMOXTK6z/w2R6c5iS5se5hk56zL7Hd8rZ/DZ9364My7qbMmzIY+8qudeOFv0+\nX2+/XDb3sTaP0gyXdFFTyAcfxuwgSXjDIMZUBZ2Wlx9BgoIuek7h4i5Wj2R0Bu109KMnj7V3Zesb\nvY4Scs8k9XsSBSTeSnppyP5K95LfTmpFYETEw4MtzknTvZH4GnIX0FMgwBIzqayg6SHMJWdnUNSK\n20JEPb+T0hMpHR2WwGUn0pairJ2vDub9vyFZgQb6TpUzf7Th07fZ8+w4yae65b6Y1n5Wmrsepa8Q\n0ygqEJ03THxDSuJHxfLbezgp1vVssbyTu8363mJbayd6x+Bf+umPPu59V93m9rs+rOPuEoZRek6T\ntppKJjNq5EbT+62y4NnzFDc0ixI5mr9VpKPfTtc/tMo9D7yL8rT8p9pV/rhJ3Q+HGbZmt72TRzEi\nKX90i6tH3W9variFXziVjQk+kOSTnczNd+vPP2+fIR5ZdLlDnx0W5s0BMZdk5PdfrydnsryZTdJN\nRdK9xXwFS/voeob0OryFksrAQEjtZGQfu+aLznmf+IXHGXYFtS+IzporfrWBa6sDw6A6wWJyW3ql\nutazfnUYTtFh8i+m+1mJwefL1C7HYs77lNIzWp14/VPmzbyaw6+IPjJT/P31pnyg0/oL54p2pMVF\nCRY1cM9KJpYa+5Yq/T+xz7sSv/DeiXfLbNmBf1w28K3xL45o299F7/o/b1hPErzHX0VR1B8lcRz/\nNQHsf3mLoihWtoWq3XQf4Ozr+MMSOluYcW5YLT7wOAO62TMDu4i2M/ydnNTN7i184hj+/RD7nmDQ\nNRzcTc4SckslLr1Q5jdr5Z06TW9uAaMSPL6AT83h3xbQ3UnnZIEBcJZAv9mKFgYfQ+3zwvqwWYj7\nRYKRemNp+UZWU58QDMsIS9FXKKgJegIdCdl0HyZfS+vLHBpL7/ZwHMXCKB7JmFL2pAK+GS/FWKpb\naDqOnFzyV5I6k2Ep9h0OGrUN95M/ibYeKlqorAp6ARfOZEUhO/eS+T3OpHATXbtwLeNK2VVO6tv0\nG0dDLICgHVRdQvkrdEzk0HIMZ+65/liQ8+UtfG580NzuT+6gHmOv3mrjvKnBc77tWxgs9/Yr/Cb/\n7a798S8UVG1V865KyV9k7Bw1Vs3RdYpWdup4vdTh4nLDj91v/8Chxr24zaaRk0SjYuNnbLDl05NF\nszMyMxNyfrpC38GUnN4qfW2ttC4lPpGvz+L799I3icJ8jp3Ao09y/emBEtVXzCvdgRx429M0jBeg\nonPC8x6V4K1zwuXvEdCQy/na2E/4t+9+L3jWi9sDF/b95RzMCY9+3UEO1tJexYwcPjeEq1816LEB\nzh71vF9f+l4j1m2057ZxJl201pb3TPP8Hac666XnpfonJbcnpbfl+Ld//w97q4eou2O45z+ag22c\nchbHjeW2pxRccYru+7dRNEL+Nw4bVMautz3KpVdyzChXfOIejy+9RO+nClm5Ud5zA/Te0Z+HNzJ4\nDUPOUzAmX++4PGVnN+m5uUDX4nnEV/7DhvXq+K4j2vb+6Ib/u4Y1iqIvCBZiQhzH46MoGowH4jie\n83e6/ktaFEWxa+IQL9gQc2bE0xtoeFXepW+T+Hha921F9HXw9O+ZdiVrdvKeo1lax+DBhv1us73T\nDnD9TPYWsbKFCVVUd/NMG30FzC79k6hRm4A01z5HagbrF/tjddU3KhQUVGYZBe8QAiI7BAP7Bn46\nVggAbcv2bRAiFVml/2QJ6TXMeBurfiHECHMZkgzyfas30LxcWMoPF/iw07GWY97Oa08y5iK27+C6\n8fx2fsD5TukXbPQoASWYLsSlVjeIkglOKhfXJihtpzIvBI7G4v6XSY/hjDSvtAdFrBlz6L+Hp3cy\nroCt7QJ8MSpkbBULic8/WUbPFq5+m1Ff2WjnyxP5z3kqvz5L08pq7ttizqf2u3PWTY7NX6bjPyrJ\n72PJZq6YYsDF+5RUt+j5Qa0pU3dZMuEy55z6hNpnRhp/2jrP1p4nfShHzvheBxYM8YFTf+jxnktd\nP+SXlr1woqeLL+ALOao/flBibrfDFw4TrxOoVg3fI/fdnFsW8uZLm2k/jvxK6h5k7FvZtoJoLyNT\nNE+kaYcwUY4WrGM3VTUUX/CnqMC7BGWt9dl7vWEP+3uySv8T8aLkNR+SWL9T3sCtas4eZee/vSi6\n7T3iBxJhYjw+YjXTn3jVmnNPCK9NcXj3Rhy7TfPkCpXFTXq68hxqHGzgMftUFjZaN7IfzXt568nh\n1YsXOPGhyCtvPY6VDbyrkEc62J/H2ENUHcWXU3w+N7yie7fwpaFqCpoc2j8kQOfda5W9Y5jO5mIV\nlx1W/9oA3rWRzqP+YcN6RXzPEW37YPS2NxO6/r4/iVV/869sc5uQv92BG96gfv6tvlEU3SpQQWNh\nxNwQx/G+KIrOxDeEQduLT8dxvODNzvtIg1eXCRzTDojjuFZA9P/n2lEdjvrCfGWf3B9sW+lI1Is/\n3Gr05I1hyTu8kCHXBm+oXxE//R7DDvPiffZ+rFrB5KN5uY+iNvq1hVjN7Y/T1UTLKvY30Zpmb2d4\nWbuwbjOHcoWEsV7BC52DBrqL/KlA4H5KriU6UfBGZ2AShYOEAbpVsNRXCUZyINH48Pf+DYIBXo6D\njB9JTUtWIbCH6IyQXmmyYNSvpDHN0RdyZRqN1HUz62RmFtDVRk1zMI77UzzVSNxJc5341qS4voXl\nrwYCxLp2xqSMuPF1Tp3KmSWUVfKRYbx3Gq+9wqj+lI8NYjH6BGt9kN2tzG0KxygbgAPyLmjz6bJv\nOu6aF0Xnz9HbXBDifu3Frr36d3oOFslEGRXv30pLN9cN5acpB18aau+iMfaVnOWDUx8ir8GMzlWW\nFc5y753v0PJSP5oje08bJ/WzIj/Z8jE7rhjvS3d/3Qtbz1He2CbxyT71tw0wPLlLzpd7eF8U5CKL\nCumKwq37xKkUVdCWJJUXnmliDXlLKC0ldRXTJzHqPIpqBDZEPU4mU0FLJkDiI/C+RX8iH7TFDB9G\n6X6iqQydQfEY6Y5cqU8N1O/YCXbOHsepN4kP5hj8ix2iKRk1RbVUt1pz3/Hybq7nxi5mNMl/R5vK\nriYtq6rtemqcugdHqJhzwMGnB+vcVcLNA7lsjuTAZmNuf9nc3zSaMWy50e9cG4KlO5pIp4K+cOtw\nZjJyyDauTXNzhklj5KQ4tHCAopfb5Y1pYGtC5Y4mpWe0aioq86mZ36DnSE3Gm7d/hG4VRVECPxKW\nDlPwliiKJv7FNudhTBzH4wR66M+OoO+34jieHsfx0UI86QvZ7w/jwjiOpwssqN/8ves70rBbbxzH\ncQgaEUVR8RH2+9e1z/3K2kuv5+Fnectl1C7EW6XO32fDsbN4ealAQSpm5wiSB5BP60i6yrgno7vq\nVQ50sfB08laz9AmiKgb3Y0cvFT3MexStlF5G/zyMpnuxIH78WpAEjAsF5lmt4M1kGQTtTxKVkFNF\n32IMoCsTBlrcEfit8VZ/NNJ98zEnGPW807OshSoWrM5edIwu4qez/88IrnRjqKSghNUjsJb52Wql\nHhfghnLyp7Hv58TNlL4r3I8vLAmeWXIcB57lwCj2l9ndMIr5W8OlZIoZPIjaH/KeK0K6qkbBnZ8g\nBHT2sut1PtWXvf5uJPSuzPP+H9wV/ICHF4vypgXIO9lp4U/P1XB1ta4fV+jaH/HIIzxygA99JGh1\nvz1mB4/MvEjNzjrP/36UD076rDvrblXcr1P972oCM62KaHFMv4jNEZUkHkmLmrDqoN3PjBfdIQjC\njIzYlMarJGfxTAU1Q9lUT/N8TOdgPVEpiROpf5T6URQcJne8gGEfL0yMrWHxsPA3gYfsAD9t47Ol\nPJLh+RVEvcQraBsdnver81hWZc+10/lmJy8kqCpVe1EVxX0OnT84lLO+k175bIlpT+tZU2l1wSwy\nFH6mWdcHklK3lOqTb8e2CTy9j7NLpL+zxfY/TLB9ztGWvrdP53v2k/ssLScwpB91j1Nbxraz7PrC\nRLZlghM+o5dvdtFVpLOgmL0rGFSi9sGk3Jp8mV1Fvj3sc0I12X+8/YMc1dnYGsfxboii6F7hDdv0\nZ9tcIlBuxHG8NIqi8iwTadTf6pulgr7RioUlpTiO17zxZRzH66MoKoiiKPfNKqgc6fRzfxRFt6Mi\niqL3CD7Hz4+w77+mxcfz8E40kkmQmIDtoS5RGcG97BbwyH2k92EYCzeS2MXkalonIcO0DMPyKDk3\n8Dlre2nZzep9TCujsIy256iI6euirUVgiGVCCQtLQj5/VCaEoQcLFK048E4zb+T27w/nFddhdRCE\n8bJAzSoWnvkgUheEkioW4EWiiPzBRDnEp4R99TUKo7pGoE8VYGuWXtZNbrVgBIYJ6/rZ9KwjLkM5\nbfOxgfrJgQuc7kITAydTksPzu8J+Mg0kuqhdg8u4c6swEuuF0Hxh9jxKwvXlH0WyTXAGLufBHdRk\ngn3fsl77zrKgJ9292O7yoe4tu4Jl7dyz2h9TfpdtIk354CZiSgta3DTpfumBE/3s8WsVXNwjXh5J\nDcyT+4FOXmbUCdsN/cpO8ul9qkDpR5ql23M4aYDyWU3ia0ic08eOiO5j0U66Hw1JVuaTu4fRV6OU\nwv70TA+wS3cl3YfpLshWCkgIS4fJIUFjeoKCqylYwairOK40LFhaEwFaSPUL72vLftp7OOucgN0e\nXmvYZ3dhRXj8w1PUZgJsf7A8hG57S5lTxFHVFJHTtYc+up6rYHipo29bSkMmEB7ba1hZEjioe9by\n+1VuPu2bJDYHfdzu4ZzTSW03dodFbXNE/2SAR9b3KvnhIT6I4sOkI1JTpcZNMv39y8TTIjUX7yX+\n51Cg/kEe618mEr0RtDiSbd60bxRFX4miaI/gmf6XvNsoiq7Eyr9XluqIDGscx98RuKgPCi7Kf8Rx\nfNuR9P3XtR2CtzZV8jvdXDOGgnrKSjknFjyKBLnXophkIblNnFUZSmqcGRO3UNnC1Eql3zqBE8Zw\nzrnMyWfuBfSfzN7jAwd12JVKP93OjVcw4wxBOHudAKodRe+SYCiHLRZWDm2BL1lcEIx18tpQHFCx\nAFdfReIcwZjOFnDX9ahj5gBBR+ATnHgN5x3FKeOZeDIOZDOxavyRlH/hKQwbSfEMOlfgQgbtFjDY\nPoqSuJ3KumxBvGqSpZSPIzmf5NlUZoIq13H5zC6ioFEw2Mdmq6k2h+P9+0V4hZx+ocZW+VbBqB7F\n8IjkatLDhEltCY1NvPIgr20lOcU3f/NhFkRc805b7h9v50OTKSsM7A7DyRlLUwX7Ys1NVRIv9vnx\n1Te7t+laC78zUrpvpjN77nL5N+8342PLnHvy48Y9vl7t4iHyB3TJv7TTyI9vdvWE3znnvkcNOnu3\nxhf7K0j3Sjy7TNS+juLs/Z2CA4cZuydQ4k5D/mHJUZUMnM5VpzDkFI47PhjeyjYB+uklJyJ1wKQ7\nVio4uU/1hXPlf6uT6SS+n61gkRrEoBrKJ3D1KK48zjnfe4yiFn7fYe95w4VJCk+vCqLq3a9R18oZ\nMVt62d0ZlLMG0tc7MpiEjchj8c/mclKC+1aytYvnnqF4FLlprPLl93+VTGd4Ty9po20AxUn0BMRq\nfzcrfxWovvvK9VQOD2vYOTkktjKpx8jc7Q78coQTZy1y6OPDiHv/KaP3f4DHekSYcBzHn4vjeDh+\nJeCwf9pBFE0RjO17/95+jhgwieP4uTiOPxXH8SfjOH4uiqJrjrTvv6ZdLHiAudK/LQoOamq23NwO\neSO70UX1xaTWYA+Z4zjxHTRPoLKD+gQz9jPsRl6nO1NERPSfGTqqwvRRU8T1JZx3CtPoXFTJaEbf\nV09BL5PeyfgrBab1CTiNse+g5DQGHUVBKzPfin4MXpQtfdItuDT3kXkAq7N0pHLBA9wXSqjMKsfr\noULrUVn6Vn7WM82MFHDbkVjLa91UdNHRKBjp3KzR7kYTR48h733ccimpiSETLdNM5zKKL6VkDEXn\nUhUF2Hhtf047UfD2Hxbg9DoMDbUS1ZMezMQO5lyFNgqnMvGqrPBLLx7BhZzXzbFXceY4aqZasW+2\nosX1DKPmkkM+etV3WJ2g4gwSq7Ccmh2KBrf71tyPyntfp0t+/oCrih6Q992hbvjKz31jz3/a+0ih\nmQOXe/KBKwxv3Ouzn/6ielX6luVpn1bmJ0s+7rm2s/R0FLjq6nu84223O+e0w+LbJvPjgcgJt+fu\n/pxyIjdNCCuD/kP1P6MvxJpyhcj+8CIqrmHQpHDtyZNIP0fbNBsfOlrRFW3q5w3Q+3Q+aTL7CgLV\n9ehCxg/lkhNYkiRJbWIQ3R1MOyEkhVsbnH8HmRAx4BhuLmNBguK8gNufkMPzRNNTYTW2DvPJVOYE\nQ/iRGUK0qYZBRZw2kaLrjPjR5ux7VaBqzBbHX7ic06+h+rKQdDGqgEvfyVcpvLtJv361yq5r4Owq\nCkawe4fdbSPNuGmpV3rnBHj5n1TxvlfeX/0cXLjJ5i/e/8fP32j7hcDEG+2vJRL9rWSjI+lL4K4c\n88YfWaW+h3B9VsfkTdubGtYoioqzgis/jqLoA1EUJaIoujSKog1CcfX/wfZD9BHNNO0tKwz/5DYu\n6ZLufVn69hySR1GfxVgVBEzzxR9ycSu5q0NcaG0VW1sC/FjUoeTGZl7Ik8jrVnhGC7mZoNf5xEYW\nvyyvrluxFjVP1DKlh/31JLYhTfEeLGLBejpfJV4X4Ie9XdjGvgk0T6VmLpWDOO7arEE9g/SDJAuE\nkbzNwLdt59gMx+XwxHbm7eDYFLsHMLIpS9bvYtAwcs6jIp+eDsHYrsEhdv1coILtYs1j9K7g1joy\ni3AZcWNYIrYtofVeDqylcVywick9rO0UcONBggWaTbI3S52aFPivu4o5KRmuv283q18M+gfJQcLM\n9DhPVbHkPp7fT90CU4au1bmmmhHUr9zrgQVvZWoOzSvJ5FM4h/05eosLfHPJ53S/WObZe87zlR1f\n1PsfJf7w4+t8+rpva+0/0FM/mOXG8l9Zk5zmwY6rVKxql26JVL3SbNiE3T6c/LHrLv21Pc0j/Oi3\nn9aUTCr8+G45H3kJJQEqvXyFZN5B7lkUqt42djmwKScsCFowuD0Ijs/axKEk9oeVSTyVyj2qz6nT\nuG8g/0bckgwLpa9Fxj28jnEN7O8MUNDgbpalrb9hhpyc/ry+mEdfJ7E9JOxFJWxezdY1/Ft90B/o\nfCJQ5RqeppD4vtowYofhM5SVNIV577sResgpYdurPDePzi3yt/Vlx8oA7V1lNnVPJLeW+o3h2hZ2\n8sRyftSm6+ZDrqx8UEdHif4H1tAxlbwig+bWKk22OrF3cXg3iv8chvx/3/7W0r/0tBmGffEdf/z8\njbZc0IQeEUVRnpAQ/JcK3I8JQpmiKDoezVl9kr/ZN4qisX/W/1Ihx1kURRV4Ap+J43jJkVzf3/NY\n7xbcqLXC4uFVfBxvjeP4kiM5wL+uTUcH8R1ef3CWPavGqpnQJdOUK127kExKcPPKMDqUaDGeBzto\n6GHbPuLjwou7Yrv291Rq/1azeGJSZk++rsLyYBQXPk/ZbgbM1rWuWH5FtyXtJzOjgdSB4OUZE8jy\nIiYUMayEftNIpYSAVn8SheTnU9lIdzL8ljdH8ATPIn1YwEbf6kD5cSyoYe9R5PSxrZff51KRYvBA\npMlppqwi1JnKPM2+N5LMYT2lE8O1l19PdTHaqUpSNZLkK+RNwZaAmcXDmdYURLpfbOFQOV0rheX/\nTmFyaqRoEAsfEHI66mg6xL+vJtFN6hkSMxhdSnqbYJmOpXgYQ/MprCR3gNv2f0xNaS07Kc4f6ODm\nAZRlyE9gLm1V7J8lPimj+lC9CWNXS52RNLZwK6PpG5twTPya/Jo8N0TP+fm3L3LSqEUGrKw38XNb\nHdu6TLpfUmtHkZ8vfa/ne85Us/mwTw7/qvbdg6XOzUh/+DREymY3qH4olt5Zw/jpVEScPExJUWe4\nle2YUkJ5xOL+DO2PWWSGE5WT2qlvSRSW53UCOaIMF8W2/mAqLeWcuJXSnFDccGpSNDQjSuxhYD9G\nDwwiMQ88iQTNBZLVhQyo5LgElT1BIKd5KskV8sb0KRnTHIb88ljLvH5BKaxkPYbQ9zjGMmga0Wqd\ncbEA1g5S8EJC85cqOFBA6TTWzdfv5HV0lSk4/RBVI3z/+c+KmmOH/30UeSkGjNeXk6NfV4MZJy8L\nimedI/8po/cfgQLiOE7jQ/5Ebrs3juONURTdFEXRe7PbPIWdURRtw+2CqMXf7Jvd9TeiKFobRdEq\nARh6ozDXBwXs7z+iKFoVRdHKKIqq3+z6/p5hHRfH8Q1xHN8uhBxG4Zw3+GD/s22NYOtbA+voNWo+\nmAnL91RtyE6RFuhAiRCoMIB3DaTjrJD+ejKaV5DqCshJ8UinnDTvTzliJxfz7rM5fJiDrzMs0txd\nLvc9PeSNVfqjaZw6ia9MYmID8sxetYczz+bGgRTUMW0Up+cyYgUnJ0O9+utOCpJ1Z/RnzBvBrqEk\nWkhtMHHckhBZPi+HyrNpS4QaWZ8tI6+bwWfQt5XWwVyfz4SLGVQgLNlb0ExbDbroWc+e13AKex+i\ncTfpAfQWhe2rT8MxrMlFGTMi2rbTeJIA5p0YvpdL22parxKiJYmQKDH5OIa28Y6TObCU7aehkIEN\nFM+j/nfsOZ7uh0nVKe1p1++0Osd+aJH9T+7VeaCUxYlQyloV7iB1t/GvbtfXV2Dz/KN17y63aufx\npGl9rNK/N35N7agaoz6ylW/WePuHbjVvxYWe++7ZVjw3W+uIEnOHz9fvglr3jbtKPJuNJ01Qc9ph\nE79bL391H5YbdcIWjfHRvD8teUyp4V/aRHWB4ckOpzw4T9mXGyUz3Qb/ZidfrA7l0Wcew8xJxM8x\n/v1+evb7lXymSeVNtRJROiBUnZTdeZAJ+Zw2nfV5vK3atG+skF6dK3WglAMZtvbhDKovIGcuDcul\nJ4+j9mEezLA3j+rJ7B1Gyyy9PaO1by4PYePaSDKdkjO5h5qBgnX/ODlDOTCOxDvt+/1oAcs4oHXS\neG7MY1QV1f35xOka2qbStsfo7nZuyDdl9gofm/0tru+lt4wdq5z06ef9YN9n1KsOyNNn/jlQwD+q\nbhXH8TNxHE+I43hcHMffyH53exzHd/zZNh+K43hslkK18s36Zr+/Mo7jo+I4nhHH8RVxHB/Kfv/V\nOI5L4ziemf1tZhzH9W92fX+vgsDKP6/E+pd//0+1kCCQprGTvU1yvtxf37ICxdtW6qieHHRW3/NG\nxu0W8sZTM5YxBzmjiJdKFX81reOqRPCwduDyHNqILm+XbGgxZF6v3TOHsT8O5U8aD1MwineTu2WP\n1Eur5IzqUZjs07Z7FO35tA7g9L6wRO7fzMpHRadPFz/bwujzqGjl0KoQ2xo+haYVVBSxtUGQR9hF\n7lymxgryX9O9uYjiofT2cmINi7ZSkqBvC/sLSRRT0MDUM9ndy8EHcBQ5u4LBPPBL8q9gWD7H9LKh\nP/kdFFazp52iOvYmwt/nVPJ6J6OL2NDOrihLK6sRPNSNOJ/Lj+KhZymcxdjX2DGdrifJO4HqvCA6\ncnIpz/aQ+h3nfwYpns1hwgsuf/SQ5T85QVVfo4NlA0358Gov/OoCXmjnuccwkStH6H9Zys8G/D/s\n3XeYXWd1NvzfPtO7pkkjadR7lyVbltxky71hY2MwxWBqbGqABAgJIYCpJvRiAjYxxRhj3IvcLVuS\n1SWrl1EZaSRN7/XMnLO/P54x8BEn8fuR5H39Xt9zXeeS5px99tn72c9ee6173eteH/D3PbfY+/h8\nJlM6rUl6TIafnfYOBzqme+TIG/3Vgh/4wP3fU/7wYR1fneFteXdp7BplXrzDT6KbLD62WcvMEoe/\nPUP2rr3aD3dINo0y1N+j8lOzNT1bpWzCcT0HkpZftceTPx0nMT4hiqbLm9hvoDHb4FGiGf3i1d30\nNjL+OEcny1hw1I0PHvDinRdIb89Q0zODfjLfNGDo6RxFi9p135UU55Wim4pShZ9p0XdDSqpxLcnx\noZ/X2y7nri1cNYMJBbw8xKQMeqPQjf0fYp5tZKvOAAAgAElEQVQmceGQdDJL1tI+kbR4VIZ5yW1e\n/vEiqe8PyxxOTnDpBO58wJTVMx1c0h2M5JdyeSyTo6M48UOJ391k2pjd9n13FulOVVVJFZ84abAi\n276PzOSxFor7nHfjQbsunGNJ7jqPPH8VH19DevlfXCCwOF79mrbdHJ31uqy8+s/SbguiKHqlQ1yE\nvOG/I6E1S/F/69H9RyO9I9zUUbOhz2dRs1ZPMoMFR3nrRMYXcnQH+oICVFcxh8dyWye56/X87GJy\nnqN/DmdW8GwHrd3iu4oMzR2rtnYDbZNCccHoLHIjqgd4sMtgawlNxww1jdIlRyBdzkQXzxYSbebQ\neHxY/NRm4sMcfICMYlK1GBfarlhIc6dQ4fAEpjP4CC1n6T96BBFFSfIz2VESCPQtQ4IHuYHsefQW\nsPFZiqehIxQODKFnHao4s4jpFfx8H0M5jDxB6UjeVMw3V5EYz4xSjh+goZfyWcwv5JQBflMhUAOH\nqWPaaThJzhT67uP4FfSsRiX928gazeAiDg4RjQn0s2JMyQoEjiM5NjUudew9Ex371BgFU/oVl7XL\nuaLbwK5CRi6ncZ+ySeM1PVLlV+96u9rOSUovbNL2/UqDN2ToHhzhut2PmXv2Fjt/v8iIrg4D91c5\n/+2/9ORTeQ6tmCaZylT7k2kmlx6xadlpmq8Yzc6fU3wenRvo30WyW0fhMp7YonVcN7mTPHlHxOG9\n0nOu42ise3UWdhMfF68/h+wtJBuon4WZoooT7njXhxRv36LjgsUBIh9LVsOQoVU5utbtof10cp+m\nMI8NI5258ICX0rU607MYP4XGlbKXrJC8pxZzlBfVa6muCkFBh0Bj/zq5H+s1pb7G3jlzTJ21R+ue\nSplDKalZsar31jn+k6rATJk8rAY2NFPLykrmjWXzt3nkHbyhiK9sIl4u/ets+3IXBlLCz+rVt+xW\neNksNavmh6q8zhyWZNgyZrGezxdaPWF5gJLisv+S2/f1rLX6WsZ/CAXEcZwRx3Hx8KsojuPMP/n/\n/z6jSgDXr8fBXGZmUNiDTYyaxD3ZAiRyVMiSz6Ijj6PrA5bZvCLkYzonU1MRugUcaaJ0LH3dnN1K\nY2+gf54vhEDTCtibw+4nWZ4QuJtpoRjtlRB8WAgjniyQ539Eegxmkn3RcHfTZYK1TmNtqICyRrCG\ntRjL8ecFkK+VtmK6qrk5xdBjApg3B3FI0JlN3E3ZiJAMG+pFBV3duIhnHwo36YRJIZmW7AvqeM/C\nCErm0RcHPdkrxvNsKlB0tx8XMsoFglXchQNMGE2yPmgQZB0NrUsy0uF8rlhKxv2MqCF5b4BjuoVo\nNAODXZpPVnAgYm+O3qWF7j9yreKSNjmn9lCQh81a95Uo+8fjHs5+o8HBHHMv2MYculeVBe7l6Wk7\nX1zEenaeOZ3KyKJLanzuDd9R/fJmxWPbnXvL47aMXqS5YVTQvu28kpOlAQdNXoOZkk/lB2Wro4Xs\nbw5RxchsHn4mVBiNyaN0Jhcsx6MkC4evWz42qyqaqOCqHh1zT6M7EYTILurS11MQanaKlvGWmL0F\n7J/L+2bYuWSBajWcOMLxXCywuGpj0H1tSOu9Lp8DlP2kLizhCD2R/qIC7XNHyB/XY3rJPn3JPCum\nr7TrwGJVk4+T/B0O0VcQll5qpfaecjqHcAqjqng+h55tOMI0qr5/JKiFRfnktTlYPCegMYvTDDzF\npljuvn4Z56Tlf7gzLAMv/H+9Y/9fY0DOa3q9Xsd/TX3a/47Rm+R3mJBkS0z/ccymsGu4LD+Lcz+C\ndsqKhs+0lp5xjHs4UIIn1jOtiUQGi8ZQM4iNPBYJNYoCc3e3YMtKISf0kPpDAcJMIQNehWJKS3GE\njMlhW91oIrkFi4RyoFH+SLCvFzQBkoLL8xJzl2MWBRfStZHeQ/z9i0L5K0EYrIKekwL/9UIanyHV\nwpULh/dzFHew8F2hsCuVyVurmD455EovhgSJYZ5zNp7KCLzIbCwfHaAG5VRHXH5DOM+GZj4/OXQ7\nLSsPxQ6pNAr4/h1095M70yttTCZ8dT9J8r/byvzLzF+6NXS2OY2sUQPGFda5PP9R2XuTnN3LrBtY\nkCWvZ0DRyU4fuupbBjpygl1fgl/GSsfVK13UwAS+7LNUc8QkD5ZcY9rYPTZ9ZKGPvnibououiWOp\nkFjMbib/52GeE/vCtRhC/Bg2BwnBStSWMWMgXM5zcKSP+zKFwoEzhaRpHgbkpV6UnTkQ2AW9GGBk\nW1PI1P+9ULfzXBI9dN7G7/sNFmbps4wVc6nqw6CX9pwTug2MzzbwWD7Tad1bHS5hjF8k6SI9IeGm\nmd+zeGiz0t52a+pW+LtRX5Cf7Be6OF5g/Hk7ZHxxUFSQGwgdE7pwglOPsb0trNGojBaiQ3FYPqlC\nembI3NIYoIf6VEiUTs41MJgjPSahqb5KyXubSZz9n92Zr2n8395B4PWrJPv8amHV9Ut8Z4zMjW+R\nfL6B1XuZcwbbNtPWghStg1SmGHEGs8rYtiwUJQ1U0ZpgMMGNObwxQ96R8/QNFjKr1MTSGkf2TSU3\n5tAmVU9UqX/v1bKv6ZW85zIGDxLtJz4o3PXjuQy/biV1iPy5oVa8YUQglNsXhDbUCdYrk6wCBo/j\ncrJjkmlGlnBaOQePMPptwXPeha468uZwslkwxE3oZfRsJk9nTSdP9SKfaR/mwD+zr5Up9Rw8xuiZ\n7DjID0cF7yuvi/4XOTKG/HLqn+bDb+fRWg5UkN6FFk4uom51OO4DZ/HM00jTEVPwPnpeCr+54o3s\nbQxdao3FCbU/nU4PvV8tY98LvtT0YXvvWuKzzd/Q9bNyhZN6/eunbwo3+Nr9WM3+T6rMbrY9q9p3\nf/MpOhISX09K/zzbgr/easbRvUZXH3Pnx96nIVEl75ouT/7+CsuuXOVk1SnGlB73ni+8w6O//ZTD\nc6c4umCSvr+bSd1I5pWxfTPdR3h/BXmBjp2fulP86av19Z7jlDM32jomKTGB3Msy9X45n6EraWjn\n+CZWvIdnRzp03lLXXv0r9/3T2/z2R9d6y1P36Zg6QvG9jTKjtNaHq0R9meK8i4z6m9laKhP+cf5n\nfSX9bp6tDevBcSUHW3V0ZVGblr4uizuY9M19DienG51f5+St1TL+ZtDJreP8OONDTh+53rTzd7sg\n5ym3vHiLaGU8vKaOOvr8ctZn0X9F4PA8vYHcc9g/ysj7uzR++628+GvOTTn59UnBYZg2inWjJGZ0\nm/vGrXZetgATOHTE9Ds7LZ26Rqk23/rB35H6r/FYX89G87WM16/HmmgXwrKD8t7TJjUnQ+K0anKn\nsyBN+1HhuTELJ2mq4cDqEF4dWxu2aczj6EPsSBo9vo4HSI/KIpVgPkc2V3BpM0dX8txB9adWMypD\n8pl8snvD7pcvD8eTPRFZIVLPbg3K/INTSS0UWAmnkOr0BxX+jEq0MLidaCo2kVyLFtHlEUcn0TUm\n8CdX/pQPJUObj8YjgquVxiCZzaFSrLYjHEf/4zhGza/wZvpeYmcbUqxO0d3MxhJe3kHfSHrOpaeS\njY+EzqV1qB3Hc/cgSZRLaoPAo754WHpnG2o4USh4byORy7PrOZFNxzSBgz0r8NafO8aWJEcpmh05\n3l/t+oG75M/stOfj80Ph1huE+ZDD0Mu2tZwmfTCL+xL8lutm3sVumlIj3ferN3um+wKfqfiKNUNn\nsC1hz2PzHDXBDzd+0oRbjvv1XV9Vvu2EN1fcbdyYI8F7G2gKUUffdKJCGTlDrCJj7aDetmv0rSnh\nRXoz82Sf0mvm7O16e0pEI1IBZi7qRDabUyR2cyyWMzDIiITM4gG5czsUdbfLTg9qPVYpr2yL+HAz\nR+ksKjC/covD8WQFiQqy5gi4xDIdGWUoZ2gwyIO0dGrqLmVm5OT6arbH0kMRG+h+tNSzv7tY/p1D\nvtH3ad2bS3T9QWHtCOkhMloZ2BbQKrX018hYlq3xpXEhUds2ilszAn2qEGtTlMcGugq07xvBKe20\n5dI10dH2ycY7ap3TjVpwgor/9S5Krzb+/9Ys/6eOqE8Iwcf6XvQxqSnZsi7qp383vQkhxM4WaFk9\nAnA4LzCbciKmREGtaGoJl8VOrp4g/wMdTvvbF1VUNZj8yd1UF1I9gsvOlz+qTPa/Dqj+6GE5H+kQ\nnTmRnE5SBcgi6sF6LsgK3uNnLyF6mdNHMatQNG6/xCdOYdo8Rk9h8SJK5wpwQZsAQnagSk7lTm7A\n+Bm0VXH++1gfU1zOiBQL3oo5FFbztXfRn0nqLOFOWTq8n/PImxrOWS5qWZwc/q0cATutD9VG0Sre\n+HaiXcEzzt3BNZeiXGheOAFLApXnrQQGQyEzK/lyBolMoXhlksC1fkjAT7KC4zoiwT9Ajf6HikVx\nrK56tMr2ptCuaxB/UJHL5WS53Hv6vPndvwiBwCIeW/lGqulbn2fSJ/Z4Y+XvjX+pztPJC33r6pu5\nlJc2LRclh5wYGuPUqo1u6P21mu8VO6V6q+xkv9xPVBrR1Si7fCUOKF7SKPp4SnQumdX9nDbAWcw8\nuldya7EDDbOVNTWG8udOlGShm1NTOCg+luEf279o0tv2uf7uB3TXVTh+x2TpZIK2hL7bp4imlDOF\n/Pw+R/PH++GjH3cklTPc7XccjoRpszXUc3RgXKz70Qq2PcMlEeckxDdnhofCg2GaH++6VHtzqcXX\nrQ0QhkYkaT1BWxKzA2TvnTgmp3C3otNbwhQXnRkeNIP9PNrIkgxO4eJFDzlZOYYpI8hoMvbjLxs/\np8Zb/NYZG9er6ZvN6A//L9+qrzb+b2/N8vo98tQMgXw/08d/+S0Vxw7ozxsy0JXLXU+EltZy0Un2\nDJKl2Cnjvn6p/vG89yUBiF9CzQFm5+j9/SH1Wydo/kWr1rJp3N7C4DGysvQOtnNTjYHLs4xftNeB\np48xppjyNKoZP5GaRawVhE1+lQy/vWkXnUlxQZ74VwNBkrBzHWUXUBzRVjCs/J8ruEV7FdbP1/9g\nJx2NPPkK8zwLmQEuePm3yKe6h6+kAhVMXRCiSd+LKcTH6VstJKBmYQWbD4ZkTapFKBEqIX4ZE7n/\nORJVPP1YyPzuXhO2iS8LSk/x7xka4B9WCCyGuez9Ln99KvnVgRoU7SBuEnQO5pJTwL6TnGjmnasw\nVsPSSl/d+wXvGvcTW56tZepYXmhnX5+QORnB4R2SH7zQg49fw7Ee1csaTEweUfOGEQoL8lT/9KQv\n5XzV1Cv26i6u1JYs4wV6ZhWJnk3LyiKzhK+N+ILeylzbvp6h8qp6pbX19n9wrsEvXEzjPu0HqoyL\nDjtxRrWMugKnjnzJupPneDlnkYn2qz05WSJrSLwuMzyjT7SScxEbdxLNk95S46uNn3Okf5IrznjI\ngx94s8zTB/U+XShrcY/ByW2yXs6UnJKtZ22R/kS+0Y5r6zhgsCiXrGW0PsjXVpE7lcebKelh8wgl\nYwZ01MxUOvppbR2nybzhqKH6LA63iu87Q3VFrRn371dTPY07j5K3kL5NHK4Jbchlckk59z+DDr2H\nFoZr1IVUOyd7qS6jtlhO7gEDJdPsOL5QqiGH23tJVzr+7S5DyZke/frlflv1Fn6EHb/5r7l9X8fe\n6GsZr1/DmhEPh9abdK79CD0RNdmk1xJlC4/x/Rg73HEUpkp1zRGsX40QK80InuWcM1jVpuZnI+lZ\nKz11+jD2eSDU1yvl8BFNq5drWjeJxHgjF27S2N1P2dvJrg9CHnWYN5V9cTCYt8zhC1sZPZW2Xs7M\nY+9ZnFXE6knMqWTXerSSeSFDc2SkN3PNJOp7ubNBCPu7MZ2ppezuIOtsCoeYneSJOfSsIt0tUBhK\nhc6gN+E3ghjLKDJPG2YNZAouywghATf8ShcLybhNgud7djDQSgSvfywZxwKsYQARiVqSBUw8i+PP\nMZg3XPo6QHaSE+uF6GE+erzlV/cbsaLenatusizjbzUcXM6+HqEAPjsc18lIVmsb0wt5YY+6ty6S\nMXOI9flqhsaqGT9L1sZ+6cMJbuSRlisDu+KDjeIZPdb8w9nW9J3LZxi57Kib3/Uj+3eNc+Y7DqlI\n3OaTz31fz7Spcnb1Of+mp+zJnGXdU2db98JyhYs7HVk6WdbkTnFzttb8cpMv2u1w4xQZz1Ua+mkl\n+RF9Jxnd5Y4n3y5vVqx+Q5n04YRk3gA5JUGAfW6+ZLIPlE9odnz7RCd/nEdXJwuq2DgUrmt/bdAT\neHDL8BycquN9FXRs1vbbMvzUUNNbSY+mdztDSYcfmOHw7GGKX+cG+gqRCu17HMfJEE2Nm8Qbrg/N\nkE7BR2L+dRubk3RcTP12o8Ycs+Sja+yumS13Wo9Dl47ltmnMHZTqio1KNxiXc9TeJZnSY87jK3/5\n7ft/u2F9/UIB6U04hfwpQRhkX2EQsx4aIjnWHyX1dgpSfjlYTNQuhMc3C6nce4mPhsTECpyWT3y5\naZV7hUreLCFJdAQHWZhLaQZXFGvccgENY6lM0N+M2hDyXs6Ye45QFHFbTFzNrt8xqYimXN5TGMK0\npdnsKRJiwCRDR0DDnjMDK+vOO/yhU6tmHGJ+G85m8AE2nSAeMdzGpW74vEYISZEJAqUhUzCCUxna\nJTTS6hX4qdkCNlKIRWTOJXEvmZWCIb13eL/x8D46SR8X8IJ1oRIpfYJ4drDNlecL9ZZTgspX4pV2\n2wWCYW0WTRrQfmcV29hmHtsGhdLZ/uFrtRF7lP54t5KCDvrHytw0YOqofepvr1ZQ1soIikd3WHHW\nk/yCj5R+nz1ZKGVfKS27w/Phm/T0FHtp/CWWLDnkNz893cHMSfqW5vF8lxFvaPbztvfIy++RU9ov\nGhcrzuukJWXUqAZ2kv5pjkNfnS0zf0C6c0eoTHsDGgu5JkvhZc3yz2n30oPnhyWyrz7UUnw8llO2\nx5TEE9zN8a9PYmTEtELyk9R0cl2h4N3P58FnhtdrEgfoWE9lJV4gWk7dSXrbSDTw7B6OPR+ejftz\naDxTeHhVClnZ/WENZMccS/PDByg8EXRxbo3YfSbRhdSuQo9xjtiaOsXJ/DFKxrbxaByuw44GZa0t\nHoreYHt6ofSjeXzllZYaf9kYSGa/ptfrdbzmnlf/J40guL1DuBETQjLn/EDC7h4Wm85aHBJDjgqQ\nwSicxqSTHB4QQu+xAlHwMYpW0NNPugybyD2P/mNCeL5VwED7URryNX35zO3mktGsHidjftKozN1O\nPLFQ9ud6JR8fVtw6jo+QOdRr6AOHmFHEBycECPKSFHsidkYURDy4gfwlNLaSVUbbHYIkfYrMPoam\nsKSG/IXsjSkY5OBRskeSrmFoJ84lu4pkd5ifqJS4TaAJvegPbZztYsSZtK8TQL7DghHPG56XDsGY\nFwke87Thz6rJeJ7RRUE9f6iQTy3lwFbuOh7mR4KyY+S9meMbwjXIm0RfM9cspaGHNY8pvGyG7v0V\n1PQLxmDy8DwfpHIxc/N57nHe+u5XSt75aQOLy+nfJ3HOdOlvP8Xtl/HeezCeqJuiUqoKQ+fcgmmm\nbd7vyPMznTl4l/SLx51zQ9KPN31E64tlvvzDT7rr2LvU1E5XVtZkUuqIuo4xan8wnVMGFV/dZSA3\nUyojyxmb1sq/uMPBb83QnD9S2/5s0vmKZ3bp/GErR+4PFWjJbSz7EBf2m3zRYfWTx+i9uZ3Wsbz4\n27DmsseQ3E7eDfStHT7v3biAccc5lsfYQtoT9GQJUUevYHxnhOtXMYfm5yi8ip5B4oeH53AEDrDs\nZplNq8x4f4ld2xcqi5+RfPsiQ//0mP6Nr3QfGbTwE6NccPUh37zvU3Lnxfq/ncnOR5HPrFF+sO37\nbj35abWfLqBgNHdk/sWVV4U9Ta9p2+6Cytdl5dXr12P1jPB0z+SvljG9j6JWsppCVj7aIWSmR2G5\nwFkqNGnqQcELO1vwRI/jRrpaeUMxlyUorOCvIsH1qCM7TzBMBzl/NHMmkFPNwZmKFsUq/7FO+dRm\nJ+6OTP3Oo+Yv3sx8yt5Zz9X9ZKXlHOlnSa4RF2fKKB4U5aSMPFnP3oSqRSfkzO4lZ5DME7JuqlH+\ng718bDnRMIwxdIJ3d1M2lqyaIJJRFDG7PDQYHOoUqhlWklwlKPx3klkhuFKDQrKkXYBB2uhuI+Mc\ncsoEr/R0gcCZpnCx4GlWUTRJMLQncTupZtrOoGt6kGV8Ds+O8QfZQyconMjcVNiXevq2oUTl6ccp\nHcVb36m7OZdjOQI00yAYjnpkql5ywpi4j7lXMXTSBdf9hKYWxvVzcZPSKXkm5O7mAzMtnLWBkcs4\n4xVJxMWhXr6j0tiP7lG2t90nC76me9Y0F1x91Jdf/IiCl3uVrWhxafS4RVUbvGfWj03OPmjrvsVq\n906npIGInN0Dku055qR3Oid+3lMb3+DE8WqDTTkydqSJjrnogseDhu5b/4Zx1bzpKm7m7KynHPrd\nbENd2Qpv6mRON59ZRmVEsgdzh5s09gnp+jlBZLwri1mTOL6RuJziAqa9C2NCV4Mps0LbmJzpTH8v\np7aErhDOEpJYBzCNXU2G0k12rVwgf0W3rMEputtGGMyrwgyqr8UCE4+2uS3nQ1TkKL6ilXdnhmu4\naKz8xbm2ZC42ufwQTx8WFb2imPWXjdRQxmt6vV7Hf6vHOqxh+AvBuqXxL3Ecf3+4OeH7hVUAn43j\neOXwd/4O7xHc0H+//bUXBUOxWnhCTxboOl0CoPQuPCV4mUWCZ7pQCL2eHz6cxUFGbbA+dCwdyBQM\ny6/JuJpUkSB9f6ZgkGqFRVstYJ7LKd7B1W+lrj4IvLz9Z5x2DelsjqZp6uCccU7/6YPWz2gM3/vb\n9/OvWSzK4QTR19IWZG607Yun8yZ8/EHhJnl8eIoWCQmoDMEIpTjrKlavxirBoHYNn9N0crYzsNAf\nccu84c+bMY38U+ndIcABpYLRnSrAJ7uF5+2U4X8rhs+9nqiFuI6MRbxhLl0bWHeY2W8h/wDPR8KD\nKh3m+5FTuaKZzBqGOobnP0+AEsaT10hfavg4isP1G30dJ3czOpN4FPWbcB4ZJaSeE6CZ8UKZ05kM\n1BP1B9FynQL0sV/AUprC+UfjuPJU53/occ8kLvXzhdd7z0d+I25JOOfhlV547mJXjvu9h89/E7fG\nFEZc8yJ/M476iQFFunHAJ5beqizRqjpRp2pTi0vrbxNfuZtT57LpISESKEMuV51B02HT/irpQNss\nvt1KXhl7twtlb+cJsMfbBMLpOkE/cB1nXc7qynCuZV20lgmR1yPhvYp30PwY0blEL5Heg7lC1PHu\n4fOfiT0qr6r2w/s/4Kav3aH1S3k2di5z2vLfBoqVfPSSOSBaPVP8RC4zM/n7iJrvMG4uhSd8YFub\nhzZcq/7sXyrteYe2gvF/scea3dLxmrZNlpe8Lj3W/27DWoWqOI63RVFUKGRUrhKUsrriOP7Wn20/\nSxCYPU2wXk8LClvxn20XB3udgQI+fw5H6tlZxMvPEl3DYKuwWAuEm7kOC2WvGJJ8dtjASQmeWgdL\nLwjiKfO7mJYmayTfuRPziI5SsYz+PKpT5IwIFUjLRlDWR10P507kG3fxkeuoyJEx1CH6fbFxf/2k\nw/cvYNI4Hq9TcnFSR1E2W/qNuKFM+x0xJ0fQc4LdW0mnedNCRVd36vpBFevuJVFEPIXsSVQcpuxU\nuiLSh4LdjQcZ2ErhGXT3UFJAby2DYwWcdXE4x2hugBiSzwzPS7k/JqsKsIfKc1FE034h7DwSuKzx\nKyW3Gbg0JAjj+4OAS/VlFO9ic4fwgDsWstuVU0K/rKm5dPawLsu8F/Yradyt2WJ7t89hXR2nZfKb\nCRy6OxzrJbmKa3vEM3t0bZxNTiv5ZXR2szjB5BR353NeJs0Nqt/Zr+57E4OH/Gy+yvet11JWJd0x\n0oqRd3v2+estuGSbg3WTdPdUh+duXrOZnnbwy1dLHEo664F16n5cIfVwgerzDnnh/nN9ccyn/Gjs\nJ/ztyVttyV7k/qNv0l1eJHdtn6zRQxbtecnhJbGJuSe8sPtN/GMDC0fQmc+ZBSxpUjA2z9RxB2zf\nt1C8M4Oh3dw1IihYmYchiqfQ+TQVb2f2MXKmyXvXYX33VoTKr8FWiXcWSh/J4w6iL9SLf5mh4nN5\nmncV87s29m4I837qCmrH03wvp7yHQ79l9LkYL3NikzGPtWi8bL3+Y9dSnmJcPW2TA8w+JyW7LC25\n9jh3pRmdJ7FshLw7Bywu3OSFxbMZPZ5HE3+xYU3UvzZd13RV4evSsP63QgFxHNe/IjE43Khrjz/2\nl3m1ybpK0EccGlbpPiAwGV9lXOYPDd0PlbK7hJE5RFPCU9yB4Z+aL3iyMzEgOTgQGuc5S/B8piCD\nddtCJntMkjs30VcqlKXUEc+kr4GuE4EeNdRFSTZrR1I6gatn0pcbNAIqimWkMhQsyZI/t8/hNVfJ\nel85ezK4eIKOZLHit+ZJ/NNE7TsrKcyiMjLig+0UzA8ycf25uraewrpD4bgT44l3MXCAkjGclWRx\nf1BGWhiTnokqurNxko69DLYLUnLT/CGRl0iRPITTyRwheHgvCGF+OYmI5kM0rRW8n060EneF/WZW\nC17nakrWYoC8NG/IZVTsj0LbuQzNDO1kjid58gHW9ZM4Zsea5WqjC+1NLZJ46ihtU0Li6dBvBHjm\nBCuf0D8jR3/GQi46EdSaLipiSSZd+ayt4twBmgo50q1oxSAaWVNLukvTMxOpHGvO1BrrvMWor7Rp\nOHui7NNzfWz5N119873GzOp38T9scsaaX/irS34o98x+49QxJfZy8ynkZTk4c47B/myrlp2tYn6j\nG8b83OkjXpJqytK7vcCqxy5xonW50inF3DmCceU0F7K4SPTBQUsnvaSnoUiiMmX6eTtDxJ+cTeZO\ncq8dvgXaKT82vA63squHmuf1fXcCL9azJ589e6XXjOU3rZyeEm8qpLlK82eq2VNKUZaQCziLTQdp\nWhcehG1tMguqmZ7gVKKxxWbV1SjumETOEjkAACAASURBVMzOrdQNsjZh4pSfOfOWVYov6pa3sIfe\nseG4EsUqZ3X568Lv+JAf0VQelsp/wUinMl/T6/U6/scw1iiKJgp35frhtz4cRdG2KIp+FkVRyfB7\nf97o67h/2yRseDwrGMt5rOrnZBmDZeRMIz8thFldgke6X/BQ14XKlNQJwVvdKISg88K+MkdzcCpD\nowPbSBnaiLLoPoZs8g8zYkzgX85KWvqWVUa+86jE5iGurhAti5W8v1FPfp7OllIuShvMzw02+l9w\nrFJxWYesyj6z3vuyxA35PJulfcdC+upoHsGGVDhcW7CAoc3oITFR9vl1oVigLM3C5eyYzGAdRg1z\navcPn0/78FS/IrZdR2qbwHQ4wVCjAKVkC4b3COmIuGh43uYEyECb4IVex9De4f220tEU3k80UBMp\nODUphLQrUEPVpBCJDzw8PMdNpNeTx7Enp/KZTAVzKpk9xH3PChDMfUKwMl5xTaHiyR10TGVjmm0x\nq4o5nM2KiEWlcm7t5J1zFMedtMfMn8XhEzy9XXpjjl3rTrHwjRsM/jLPNys/Jq+k25HlYz2WcYUT\nVdX65lW77cYvm/+xl9W+vUpaQu3xidq2jzLj8u2eTFzoUwu/4rHjV3shcY7GtlG2lc41eE6W1ONZ\nqm7fYKgoMnJKPbdiRTlV2bxMnJ0lPRCTHdm6dYl9Rxaofv8hnh2ktTEUsmjDcg4Pi5QPnMKpsxl9\nBhuTZI1j4sqgjnZskPYUa1I0jSW3gHdkBCh91jhUkLdAgIzmh2vUVmGobHrgGS9lcFKO+jHlGhNF\n2MkHC8muUJs8xZZ4kcLKLr1dJeQPr5m+Y4a2ZMkx4KjxpLLCkvyvGEMZr+31Oh3/I6yAYRjgeXwp\njuMHoyiqRPNwS+1bBLjgfVEUfR8vxXF81/D3fobH4ji+78/2F4dW4VkC12o63khUP8y7vExIhqzD\nYhKjgtHwDNmjSI4QMquP40oBlzsqJHWOoio0nOuZTl7M4CiGXkIF0UnibAFamBSSFVdOC/a7sZv+\nQubGims75N3UqeHW8cExmdTB3TtYVioxfoZ4MCHjhiGZXx40+Zb9dv/+FF7uY2Wa1BryusONlt6N\nQ6ECKnMZE/Zx/NTgqaZ2sqFRMIQVZJ9CciQldXQcE5JBkWBszwn7kRSw1tFoJWMJqccFVZZ6Ks+k\naadgDFcPz01+2Da6LBQAZB3mPZfzk1+Sfy2fLuPADn4VCXBBggmXBjBnzXoBU20nUcGK5azeTcli\nOrbTHyAaUT7xFoEmVitxyhU0PyJ9rBqdoR/UvlYMknUVI5+jdzHt2+T84iIDN+ylYl7wuKMNAbGo\nOI3TZ7Aj5mJOn/+ireeeJlWakr03ZfRDDd7xjTs8v/sM6//lVPpHyLuhz7zBrV782QWK39KmeHa7\n3I4BS097wbieE1Y1L5eRm/LiCxewI8l9GXw8gw80hqaRiQbK6rjmHKbWUTw+ZBi+TTS7T/zTl4lm\nMpQUnIOyMLdZp4RS6hxBfrErwcjV9FbSvZaiOXQeJvcs+p/CLEYvJbWH9pKQwLTUHxKu0kTVLDyi\n6HsX6vpShYxJT/rKDx726el/y+E6wbHIkffxN+sbyKcjbe6vdtq5bBrr7qb0TLlLDln2qZds/l2f\nztvqqZpJ/Zf+YijAvtdod2ZEr/pbURRdIjT7S+D2OI6//irbfA+XCqHtja9Ez//ed6Mo+oZgEAYE\nw/LuOI47/2R/44XF/Pk/hzH/zW//dxvWKIoyBdT98TiOv/sqn0/Aw3Ecz4+i6DOCzusrJ7pSOIn1\nf/adOCg89aKEq66gbJD1eTQOdw5oflhgRL9AtID4RVwguiwtfqxFMDLzhTvweeYvYlElDTN4br28\nO2bre9sDAj7Zw6hTmNpGeSEVeeGemIu5rdxeKvHhlPQtCdHtzLp4u6yRvV5evlTFV+o17x7Dj4Uc\nU1GKvIzg7K0elG7pZm8RMxv55YOUnM8ZCa6bzANJHtoluH4jmNGncEaF7qLJrI5p3svb5/MvKwUD\nmiV4n0cFY5tP5hSyIvrqBYOaJYSdJ1EYuhYkzmBopeAtrsMCMnLCtqkSIYHXKITqGcPzniXIVo1n\n3iwO7KZ1u9CHLJPqBYybReYga/aTegmR82rG6sotckHFk/75+vcYnD2ae1roaKbpJcxjfqnpW/sd\n+sRsQ03Zwcm+HHc+z8Jzw2XdQNGMdl0HSsy7Z6Mdl85W+KWk7lvLFL+rVXRaysDeAstnPG3DvqXi\nJbR/olLxTS36P10ocXnKe//+R365+T3yZ7Ub+HxSe9Zk5//104q3dck6bVBnab7lqVWq2lt88sg3\npddm6s4rMOKyZk3XjJc1vc+8b26RLMvStH2s8o3Ndn9rgby/79FXke/DNV/1r+UfNDa/TtviYkX7\nex3cPIOf38/hmSQ70cmVF/HwL1jwdqZlBOTqU0P8S6acsb0GWvKM/PBxjbdXy+gcUnBjm86NlYo+\n3KSro0T0zzXiH68n52wmJNh/AEUsz2FVAgO8ZZL86/L0popk/csjBlNX/vH5eioWMXPMDifGj9b5\nvQy++xLTJhhx1iif/vGXbDl+qt99/oaQ9Tj66sbutY4oimK7XqPdmfNvfyuKooTgLZwvhGMbcX0c\nx3v/ZJtL8eE4ji+Pouh0fDeO46X/0XejKLoAz8ZxnI6i6GuCLfq7P9nn74TM7Pr/zLD+T0ABd2D3\nnxrV4aTWK+MaIX1NKDK/Poqi7CiKJgmp6g2vuteMs8kbhyEO9vOvd7J7Jc2bh5sItgkZ9EESQ3gj\nxoofqxBYAhcIxiUnvLaP5ldHePzL9Gfq+5ssYXpO4EkaVrNmJQ+t5blDHPk+W06wrYgvRNJtmVx0\nUPx8jz0/n6fjWyMpjzT/sNzErAOKZrRxWx/P9YRobT+Fn2w3/R11nJVJ7RiuuJm3TeelHh5N8dCv\niSoFl2eQfft0pzupHyArJjGTf3mFA7o8hI7RSPQTVYW5GTo6THXqCOcdFQr0qzPRSHrJsFGdEzDY\nKI1UkBlMFQlefa5A/C8SHthRoKQ5xNCeYGsrR+BaZIREW9/aYNtf+CmpYQxUsUOdU2xaeaYH668x\n+PBuvt5JzWM0PSNMzA52VNh//XxDD9zGC33sejnQ6OrHsvJe/rmVNat1bRnB3iGTuw6xsUP3TzLY\nWW9gzQ4dN1fq/06+PQ/OMfCrfP3fLjD5ln2GtudKzs5RsqLFD1/6awOjsmXuzpS4qcytX/prHU/1\nm3bRHqtyz5JXmzQ3Y6ef5d/oqtn3iVOZpr1lr54fl4muGlA4ok7n0Rwt94zW8NJYu/sXMHJI3xcK\n5M9oMzC5SP/IbIOXRloaKxyNJ/HziP0LSVYIScOBoL6mOkRHA+FSeyqT57YaOJTm7m9o/NgI7nhK\n6v5+nd+q5Du1Bu8vUPhYn/ihCPUMPMP+48PXaQ2r5lB0hFuXivZWWtywWc7SPjOyd/D8g2R2cpCJ\ng/eyqt2RzjxzKreztpjkqezKYdeQvfFML7WcFboOn5f+z+731zaGXuPr1ccSHIjjuDaO40HcLeRn\n/nRcJWS4DTtmJVEUjfqPvhvH8dNxHL9yguuEmAtEUXSV4I3tei2n999qWKMoOlOQ2VjxJ024LsE3\nhpt2bRNIph+HOI53C67objyGD/45I+APIy4fNhiZ7NwvcDBHCbhio1Da2Yr5IbT2ALqpXo+IjFFC\n8mrj8Pb1w+HZuTjGxWlhgU4WXNNaIWw7xOGNSBNvMKbvqKgrbea7t5t0dZpESnQkduTxqXwmRU7a\nkbJpMka20f0MR7aFnkW7KMlu0zChUtkX65T8sj5E3Q1of4zfbwnHHj0QflMl0fvZ1s+2TLnf6mNh\ne2hSl1gQzm9w43CiqUJgQrzSlidfsHIzhs9p7PA+y4enOSVgoBuILxIYApuGz7la8E6HsxaJCSH5\nd808nELJNZzPjLc2C0KkJVhD15XBMc6dKkhcZSFX7Zun8WX2fGMB48YKuGylP1qUaUGzdiDBsTPp\n2IwD3NIphAknSN5GxamBWnxsiwc/fD1ZPbQnOVFn4NlZIQDM4OjeKQauypEcka28vsWMG3bw3lj5\nuDbLRq9289jvq3t8gtPy1/tsw61Gn9Xq9ktPMydrl/2lUz3sCn3pfKvTZ5tz82Zfve9znnjHhS78\n1OOqrj+p5mMLnGweF/Dzf7yb9fuooCKzwd0Hz5HuzDErtVvqJ/kSTXF4RhW04uHhFuVj2NpNzowQ\nMLxSwfwrLJ7PE/XCB6lwQll17HuE/q36v5Ov+9GS0PtMkfBgGj88jzeEnUyNWDTIzbETPaN9ZPyt\nco1BOzt/TQ9Hjr2JJQz2ZspMDzLUhp2U50iqc2H8pO6sQkqLTf/kKz7QXzj+MsP657mYOv82F/Pv\nbfNavkugfD4OURQV4FP4gldPuv+b8TquvNop3OxzZP0ky2BPnrxVu/Q9WCzEK6XIpuBMep7CWKJZ\nnNHESwWkf4uLBAMzRDSaERlMX0LtL/nmDdy3kfseF+7SiZxTFPifF8xgfRuFE6jtZUSe3PZH9G8v\nlnHPEqmjeUqyW3X+rk1G5ThDx07QM5Zzsjh2kt7RAZPtQm8TR3bR1yukjeu44A1Ek9i+loZXaGFR\nuPwZy8jfzN4mxlQG2lVXq2C4Bv1R1atYoEu1CM/PIsHAnhz+PBdbKb4wULTSafRy5TxePE57i5BB\n6xQeWBUkski3o4mchQycDIT2wpiWfgaHux4ooGoKqYjKAnYfFCzG+S5JbVB7eKr2hmInb+mld0bA\ng19OEq/EZZSPkvjbPL6/QbR8otS+NhbM5tltjFtAdcAiE8sHpVdmevMPf+Geiy5k6Rgw6vQ6V1z7\ngBdqVvjytM941xO/NDCQK12To6Ct08DTBwzljDXzxZP23rbQ5CsPyLp70OmffcHqPedpPEnmmm6X\n3LRLYWWHn/3mo8ovPK7z5n6DjVPCczg6zLxJRnytwYK+HRY0vuzuidcrvmKfllvnaLt3pDeX/sw9\nQ+9QcXq7U8esFzdl6JleYN11uwwdPJdUJX7F9R/n7gcpnyX78omST7eb9TcN9nx3jqyFKYM1uUFV\nbOtJmZeUG1lw3MkT483+0BYnjo/X9t4sVj2DGq54A4/UhOu8cCHbOkKi66IZqq/t0jslX/KLmbpb\nWlk8ifo+ulroGs0ZKTk3xgb+aZCHUsytkVVULOfJCiPbWhz6wGRaatk44y+HAtb9O3Zn8/Nsef6P\nf9/+hVeDAq4Vmpp+YPjvd2BJHMcf/ZNtHsZX4zheO/z304JxnPQavvv3WBTH8bXDf98qhP/3DnPw\nu+M4/uf/6Bxfv3wGjwgu0UiDPxpLaYO+pjKBKnu5QLeqGe7JNBq7iJ9j8yLS9UKCa6NgYPYQ95PM\n5cBieqZwG1ZvwN8JtfeZgZk0o5tDfTy3kow3U5lN65DBcZVk9EltzWYNA5NzxLtqDX1+Cp/dTelE\n7nmQ3gHR1LMUTczTeaCOnkzGtnBsHtmVdDUGhtR9aIhRTbSeuIHjV5GfQfkCSus5kUu0XyiQeKVl\nS+9wIihTiNFPCMT1VPhMrWBYx+J6Otf4o3rWOTzcMbxdk4D5lw3/20K6VIBYMhl4FOPoaaFoaaje\nGiwma4DBDbSuQQHVpyJJ5jyGDtnUdLobyn6hbHyzzx14Hx+M+OQAcYuA/KRpqZW5cwolUySfOEJb\nOXVpGjYF8Z3JixhLenUWyVhDyxj6UyF4G0/DM9XuG/sWiakDvnv445KteaI9EU+k9VxdHOhrtVuc\nPLlYtC/t2NyJyo80emP8gIduf7OL/nGl/lMzzHv4aY+9/Z0qTztpwrpjtjRMlDhnUM6mpL4Nx0lP\ndE3ZvV4unucH+z8o/dE8jQ5z/yjy01449zR+NKS5ttyLk+braZjMG9Oi5D6ieHitXkrjHnTQki05\nMo/29fYMnEV5q8GGkX/AlG0/aah+tBOjJiFt1+xFSjPbQvY8upJ4N4cnCFHDZrYNo2j9U+kdUvfy\nJFFPrDTjJ/RN47EpjMqSefyYwgX5ct7RqWHvFJ5vw+9pzDE46UY5vU3SGQk669n4+F985zK8HF9t\nLDw3vF4Zt3/h1bY6Lrjmr4zq4ff+fJtxr7JN9n/03SiKbhSMw4o/2eZ0XDuc3CpFKoqivjiOf/Tv\nnMXruaT1vZgVhJ5zMllXyL57BSMSC2hCreC5NePNqOSsJeRcI1RllQkGZTna6Kmj556QjR8Q2qtk\nPi4YqAFksi+b3xfhnaEn/KICfpYlfckSpi2lPsEMBi/LVvziHJ6g8tsLw+GWX8WKNypdyfTf7OQn\n80x9Ic2Ua7lxMtlFnDGeVEXotKESW4hfqbzaGNrJLMwgHsPIMcQpIRM8X0hkdpO9XFgXewRIabbA\nSz0peJ/zBObbb4U1c4NgTA8KRrRBYFpkCJFPF/rJLhS8/IuG5zOT3AtYtoirZwSvf+i58H7VGL75\nbrZuwCCpbvJyNf96jG/v+Yxb9nyR/gE+s5J4azi+6CAZge4Vz4rE6ftCojCdy9tSgqr9UzQP8YNn\nQquwUWzIOI19TzIyxZMbeaxf9x3FWt82xvoXzpTqz5J6KlP0gaEAFX+zks9dINmeYcI397lx+Y+V\nfrPBV6K/c9U379Gfk+PK3MftXHSe2s/1umXyp4y77KC3fv9x0cWxWY9u5bqlxn//Bf/6/A1qds7+\nf9i77zA7r/Jc+L937+m9aEYz6r336iLLcq/YBtsQYxswYHqAHEKALyFAOKGEkkAIBDABY2MbYxvj\nhmzLtmzZstV7GfUuTdGMppc9e7/fH2sL8nEgIQdyvjjXWde1L2nveet61/usZ93P/dyPzKn80N17\n60Ky3wdSYj2Krk/7yo/+zMBNI8Jj+HEk7h9OekCgrpVSXJN9fg+FoZ0exzfRv4dTT3L/M+FRtGLN\nM2Fu29Bq9sXr9GwvJqchqwexlt1naYTLMIL66Xz3Kg4MMezqoz7y1i+brClUBi4YYFyr9Bvynfft\nJzSuKTPhhu2hcrB8OqfIeU+/X9Rc59Szw8gdwoXv/Y++qL+9/WFQwDpMiKJodBRFeUL1u8d+Y5vH\nBDFaURSdgzNxHDf+W/tmYcqP47o4jvvPHiiO46VxHI+L43icwCb4wr9lVHldG9YGHGRwCwUZ3pZi\nxnWU72XIFvKuEQzGaAFvbUKF2lFP0f8MpgVDkJPMHquE697HyFuofSxAq+laBvMEr68Pj1I1mTf3\nMy3Nm0dTREFNlzgZU5Ay5kt7JG/sF41KqVjbYcpPNko0CbDnXFyV0N5TrmVgiIKoU1N/TZgzT+Xw\nrjgIu5wZDPEom8OtJttRRP58edcOcDCf9+XTu4HkAiqvFR7lMCxm8BmBKjVcgJBWZE8+U1ikjBBS\nYfOz51guTC7ZIIg2onOzx+sVXOjF2XOswCrm1qCMsq2iG9MKxq0KzIu4HjmisgXsyoR+TgwSF9Lb\nr/btx1gXKenuDDDIFVeQ6AnPJz6H9GtEpNtypN/yHkrzuWpEKK1dXE/phYF18M5LgiriYCSZTjNs\nIVckKU1xbZ76W44bffcelee1cCCS+499ply2w+gpuxQ80cMvkx6Pb9B6vNbwnGMW5a4zKNerHeer\nOn3Gjw+9W1lxl0nz8jz1V6N9KfNJ63cukDu1V3NfLY05jnz9QiPOOWH+9FdZlaD5EFNrgoG9N1fj\nfWP0nKrw2Z7PS308LywCOiIG5mcN4Tw8zOMrwnOovjXMb8WVgdTfV8uCaxh5eXhMHUV85PIwzw30\n2fa3Cw1GubTOIdocKHlFrdnn/nwY952L+RhyOjU+X+cN5Y/ZZ1GgfE3Jpabc6KIKm1ouV13Kvp/P\nUvvxQ7ie0moTv7fH49EbzLppA9PyGPdHKvDX93t+fkuL4ziND+EZIZj0QBzHu6Ioem8URe/JbvMU\nDkZRtA/fxQf+rX2zh/5HIQft2Ww86N80nv9Wex1DAVnCfvQO9iRpGAgi0j3DA2914DXBMGSX8Wai\nSdOzC1BC7tSgfjV4COPJzeOxLQIOWcHug4IH1xrOYxdO0zqJF/dy4gwtM5i4SN+3S+Qt6TVQU+bQ\nBWWSn0vJfTzl+NJR0u/Ml3tVn2hGk/irXWw6reyiUQ7941RD33NE+qV8uVf3St1VyLZcSmtYvj9b\nW2g/poSCfS5BoYFvb+XGAoZkQgrnsXaOdgR1rO4kuUWkqoW14wTBGF4oTNTTBY+1Ifv/Xdm+GUJJ\nO13DgpZofw7xKYE58WC2H7cwkJX4i/Io6w2ptp0jxXuS+prmCph3oHrFPUXkRZTNpmN92M8oTe8c\nSSun/7GOznwebxQmvwyaSPSTKZR5siGk0u7cTf6LrK0nVR4kErek2baa6gvY+KC8eRdxpptPZ+jq\nYGOfI+PG8TVhXngbqc2F9hTMUH3FSeklORKLBr1r713ufPN3lG3qVT/3hLt3v1vBjj7X9z/l6cpr\n7Jw/0UVLXjTn/JTnvzzLhE/s9tb2e33mS18ml7JFOx356hi5b4w43EROV5A9GH1GZV6hthmD6i47\novJAu13DK8gksrj6k1hGlAhZfdqwkNPb+HYnJQl6xnOyk7bttL7AlX/Kwaf51mPMvIO2TTJbRoQh\nUtgfxGdcR+cLfqUSlqin7gRlkyipkt7Z4pQ6nXoYaOfpLmr6HVp82vnVh7zy0MVyP9+taf4E/Izq\nckdSA4bFJ1Qc6+aBbs77IxVn/gO1XLLaIpN/47fv/sb331ru4Lftm/194u9x3t+KTfxme/16rOU3\n4QxxB43P0nQvHTUM9oXa764SJqS3CuT4bRhO3WJsCGUpykcLS98LshKDWazLLqaMFUjzw4SB+kYh\nWp7PyZMYHQb/QkZ9t8FAXkFAHS4lXZqj91CxxZetIiJVki/uruGt4yiZqbutwMg79hjoLjB85CGp\nugLRtf0hSD8HC8YxPcIHcS6ZEXiW/lZS+dzbx/5+dp9PVxn2kz8Pz5N6FrupuFmQZCgQglCXCXBA\nLfaQHInzhGV9Dl3FJBsYOOrXy/8fCRN4CnkkzkVfwFPbq8iMJv1MGKJdZQIroAEj6HqZIREdK4WO\nGY0D4VJSAsY2Jif0p07UkCgkUYAZ8qNN8tOPIpf+aRRdnSXB7+ONafJnB+/OOG2t1aRnhXNqp/p4\neIw3ZR/vV8LPf3/n+/3L6Leb8MZtyjOtcsvTPtP+t27ufdi8F3fRmjT6DXttv2CKlhVDXbrrOY81\n3OhPqu937vsOavp8pZerzvPhz36J22MdUyoZlrD/5GQKaulYxexRdI5y5oYhVIyUaE9793n/pKCk\nV86lPWw5SW8ZTobJK7nIr6v21oa+OKeegwnyemnto/j9PP1PmEr/BDbuCt7sSAFeWJ+t12JXtmMH\nBcnIPho3BoJIO8YMMUSLEfbiFVKbOfk9JWO6vbZuKZdk5BSnuTiH6BaKKk27vM5L0VITJu4KlSfO\n+yMFu/8wKOC/fHv9eqztTcLydHtW2WiawCTPCWWbE0+EEs324EncSGIv6x4TBuHTtNcKo/MoiVoy\nAwK+OJ2fPioYgynC8rdNwCsHg+qSbfSUcPdpR5ZP5rZeGgp5+DlqJjNYInM0yc8f48x1lA3yi2eI\ntxm47X84ejiXj9dqW1vL+0nUZgLdcy+ezxby810B69wuwBq76Y/wCIVX0HYyVJB1Pq3b8W5B9auC\nMysEr3UcORkGVyMmqiKuIX021XRntu92ka7P9s12Ied/jDD3bkIemSOoJJXVmjVA4qqwgNp/TMC8\nMZhP00Rqz5ZbqRSsb8QruwJcfW6SV/sFutUoNITMpUwbiZP6j7TjSpIdpPeElE6DRPP5zipSu0Lf\nFC8RP32aniNExeTP54VBXvgKLmV8Hd2v8MoiT911kWeGfcfUyzbLr+y379GJZl260aHacW6KH+Le\nSHtxpYl7VvrlUwNenLCYroz5r+w09qM75f1Ju2MfO+BPv77ChvMX2b9juFOfyWHhAM9lVxdrt1KW\nEH91BltOODF7rE9N/7J47QaDy6vCRGQOyWrSW4IEox6iMt46lp9sJTONls1h9WE33euy4+FA2Daz\nO/TZDxtl84YFSuBjQuDqFN5Gut3QJYWaP5mW2JCW9/QKxw1TqD68QzkFJN6m64dHmJZgdVrvYBlb\n9hBvY8MEu3LWeONHdnqh92I6epVe3KrzP/Ke/q72Ojaav097/XqsDmNVCHiUTsXpkK5qMASVBvMF\nL7UJw0m0kFgiTN27Ba+sQcBPnye+WPBID2b/Nl4wLlsE1+i4XxcNzMGdZJIUbgi2uS4/sNyUcXeS\nU+XWJmYSZ2hh7p1riMsxIYhm1I/lEXJn94lqMsrHngne3K9G7QSUUjoz/D+vW/AeT2ART8WMqsyW\nqH5GIP1vE16yZmFCSGJcEKO2JxwnmS8AvqP8KiglP2Tt5EwXvM6C7L7ZF1lFth8PYgY5+UH1bngJ\n0UthfittIjEuJCRoDobj+2mSPeQMEya9iM8NZ/IU9paELLSCWr/O6hqJmkDpKh1PzWnS61FP0XkY\nHcRoUtXkjsARuguprAn3H6+lby31+xh7ASPa6EpSXMWmEaqqUjKrc406fNzQc0+xMalsb4+cvtiZ\n1goqY8PTp+wrGMu1BToODzPmTw6Y/O5t9rww0+j2ds/M/4L135zhU4kvOr9rNe+pZH8ZM88Ik/LT\ndMSGRse5NJ9L0i6ufk5q1FKGFoTnIUN6HbULKF0aHndcyOBIhlTIPScnlH+5aZDkMIyl+l1CyuoN\n4btBJl+cLSK5hKgQtwlpVGn8AM9JqHH+0hXi2YN6+nKdG7/qYNkbwzXkF3HzaC65wMhZDfwypeSN\nZ5hfjwGqTuk6c6GNqXl68oqYOdWC+b89X+c/3FK/5+d12l6/hjV/LrnLQnS8e2+wAwMdAva6VTAO\nacFjWhS8ocF9JK4XBufZciMLcXWgYp2lEtkrRAsKUUTFUqEex0tZLYJDQsJBGSfrePY4PzjMd/dh\nCPVD2PKEzLwKnM+RLpv+dopglnXJrwAAIABJREFUxAbY/k1Ofo229VI/eEZ8Y0Lrt+qDw3kGlVMF\nl/AMnUkcYeDngqG7gMRxDq2guTure1AuuABVsmVohZc8jecpOIGbUcngi8LkskSYQGbi8UCfGrxf\neDkLs8c8W0FgkoD9d4d7Tr0cbHjjd+kZxjd+SGeKzGMCdetoWNKv/xZDMwx5kbHnMaSD9fk09NOy\nmq5qKq70a9HxseTND+c9eR4HdwvGtjhbeTerK6CKVK0wE73IL48IE1GlUIL8OAc7OTaWxn7aUvR+\n1xP7J9FM8YgOB6NRjGL7prkG316ouauWr0Rq6k/ZP3Qs9/Yb2Fsg78CAjR8+18DWfGdOlJp38WZ3\n7nnQn3//HW6p+EbI+tuwlaOjBb2KmGl5mq6sV3fBPrcuvtc7c/7Fwu4/Y9aY7DUfCPeYKuBTlZx7\nUxjTo9NcfL5UXgFfmhsYLGWjQ592nR13zQJDpIeD6/nbcXiWeIPwUF6lcrGzTKNSG11qhZvTj3L5\nMtN/cVBXYVk4Zu9rYcjv4egVk0jn6PpIBcvb0RoOUbjd6uT5ZkVbuCyZpYn9EVr69/y8Ttvr17D2\nnyLVj5Ek06RHCE9iDmrISQjGpDz7ez76QwkTWyl8U/ZAR3GPsOydi0ESF5I4B+ODwHLXaIFYOonS\nGUK3DWB5CNBUJaivZVstTnIkhSFBN9QrLC4RDHZ5+D3kgPL2Bcy6LgTdJ+InQsJT2wHBs7ki/FA4\nV8CJ09l7OMIFl9G7X3gzZgsA7aCwDJwt0MimoZm+MoZMJNktGNMcwctNCG5BhmiyoDDVGT6JUULS\n3FnPfpUQ8DpM5ibG91F+JdFuptzOnGoBOrlakFJ6JOzfOT7wWye3kp/kiUZ8CwVUnOHU6mxfFmEn\ng93oJedVkqOz/XUq9Cvhb7aE0uOWojaLR7cKntwo5kznYzOZm2BehWCIKsVFk9nFMweu9aFD36WY\nkkubJd8z4MCayUofadZeVqaguJ/3HKX6qN3LZzGd0pta7J4wxdjHD7vtiz9wx41rfPhDf0ZRAUvL\nKavD/dz6SRYOlzNsQGtzrfUtC9yTut3hWz/K6G4h7XdmuO62AwzGWVhjfFiMHO1iQjoQNdaipyIU\nZxybVXLTKjA+3sDi2XztTBDn0RjGcPFbQ8mcxNuwwMlMrXt6b7e9YorJG7ZZcu2zwf6azZRrw25L\n8PYUef0hhmhPuJ6GNvLrjEvsd6qvnuV0Zv6Iwav/xhjr6zfzKlrNyFKO7GFBFcNGSKbapV/p5tal\nfOcHFM4Mqlb9pwQPtZTrpvHks9zxVvZs5KW9FFwW7FhzM1eNpDpPcfsu3a9MJrOJYwUMVDNzOANr\nmFvA3nq6BpRMaNJ1qpujLZws5x0pXh1D9SDru5g3IXg1UQe1Makm6svZ0klVKV3jaDwgGLDVOM28\nyXTNJ+qio5qTDzD3IhrHUbqRxks481OGpCicSPIcjr4W6GGWC0GQ/nAsFwgQxysUXkRvA8m6YMh3\nt1OcTxwxZyzrOjinmpbXqL+Q518iWpQVuV6Dbq64lqc7cJzKTiam2XiI4ZM4HAteeREFnQweZsEH\nwzzSi6bHLT2Qa97uXe5vu1n3U6Uqr2xx9JHxYZGxrYm2pxlzu+KvdorXRXoai+hKcDhgwYnCQQXv\n6pa/IaVtS5Wqp06o39DsRDxM+dB2V6ee8trEBcqaek1+YK/9fePtOTroyN5LKF0tJ10rvXKVuLtc\n6X1X6vziBnnnjFR0tNOZafPlrzsgOdgidfU8ZUfbdeY0G4jGKj/TqP3po4xZyPEuWnfKqcpV/D9y\nzOjp9mrPEpn1SZZGAZJ+R4aNjcGIrTvFNROIS5W8v0P+HWud3pwmf0HwNEdezv7XuGkee/MCSnOV\ngLxsEBzctxDVDhpx8REXzHrew9+5Rc6ijOLxrTyYo+n9u7CDN/1pmOj/ZTWXT2D5k5iu6LZIz9Dx\n/LyBwyVcNfNXeR9aQ2WI6z7c4PnhV6hfvtLe+y5l6l4lbxkrfSWjc47Y/f2ZPLmCI5f94ZlX3/09\n7c57/zDBl/+/2uvXY40rOJKt1ndmGW8aJb1wfshk+j5yJ4WyH/3DhOh3A7ZLFrwaCPh3Pc1LLaig\n71GOp+iYHKpo/mSLym8V0nA/+9eGKG7h05yOAi+wfB7L6pk2WtdFVTQvVbaogGikxOcuZNw0ydlT\nqR4tUVlN2UkqJjBsJosvoXEB0UW8cQE3dQrL2PVCMKmU8dcov7ecnjmc7EMNm/q5up/jVUxIYXzA\nX5MTOXSa9FkZuDcI3l+L4MHtzX4vCnXnbSf9MrufQUT3KXpeYPUDwXld9TNOncsLx4RstSeEaHMG\nlTzdQPQAuYdpy2H9dpxP6fzs9bcjzdDhFBWzexev/DMbH+HYVBu75vtW/bt8eN7XdT2Z6+j7R/KT\no7z4CK2/DCyPg6/KKUnJyUmxN5GtPjONTetk2nL0fKdc2+Fqtia0Xjjcm+fcr+2LlQ6tnOTbN3/U\nxkuWKBzsVPGeZoc+Ue/o9qvkjYyVfHAeQyeHIoqJAvddeavENy4279sn1F1V6OqvPqz/TePM+Yt+\nmTEJk7+zhWVjPfrpN2mvHSN3/nTqC5g8hP6VBief65mhH7S44gcScSaQUB7rCyhUf8ZF855iUTET\n55Ip5Shdd5Q63d1Eoo3+XzBwgmi1EJTqZFg3jz8Y8OljbUQDVKU5TvzztKNLx7nv++/W/0SxboVq\n21o0rW4UVNimsH0Ld70cSqH3NQlg+CE97cU8XsUnFlMykSdepq+Ty49StZ0/mW1Fx9VGzjpsb/Ia\nMk8zpU/pmE4bpsyTHokdKRpL/zjv739zj/X1a1itF4jQt4YV7y/zwgomHh1KhqRyBIPwrOAuJTBb\ntHGSXylaKcQ4yt/AiFKqu8MKOm+krmurcSHRm9FP11wuSnPOoVA85msPsPNF/r6ek0d1PD2OqFD0\ntSRbTku82ivKr6cuZn9DUPTf/zOeWM2RF+j8Ed/dy90nhPTcccJI6qI0qeuDZUHRX7ngwmzkrh8y\nsoo9uSjiTB9H9+IY0SwBf8saUdcIa8upQuQ/q1tbfA7RUhIV2X7pErDZGQJ7YgptW4KBc4VfZ/9l\n5ee0Ec8llcheb1HQqN3+KEZQcF645mNb6azhzOOhHzWj14XJFw0+UuILHZ9WOLeBlkRgGZgoBOeq\nmDZB1+4y3ZtKQ2DsS0ISWmInx5cH5345Y19pIIfdOZOYHJt63qaQwDQu5Uj3KK+mznFi+yi+Hks2\nZnS9v0JO/oBE/miGL3HrxvvFd0a2fmyhg08dVKtJNJaSF7rUn3vQmjUXqp1y0g2f/yVbiMbv4fE9\nvNZD6RwaWTx6rR8t+TtLdvyt2TvXGPmeA6o/cYyZNGeqKChW+L02X7ntw678zs/NuGe93JzcbH9n\nn/etk0kMY2sfR9JceImrnniU5SlaMhTHAWXZOhiG7NMsvuUVV9U87vCr4+ksyT7jPmZ2CbDWNlaf\nFgKD5dSNUnv3MZ6OGTjIssWUJ9hQyNAEGa5998P68gsYTAhxiMmKSrstef5VFWs7uSBDdFbY5w9s\n/9ew/ldttwog1I4QtN69nVUHKMulcFDAogYEw7SK/EVYZbClKggAqxAwy0209zJ6gAU9bEoxtNSZ\nLZvxMumDOEHFKF7OZWtE2ekgoLHzJEd+TN8z9G0j87L0y3s58TOpLS+JD62X+eFL6KGlhf31tGbo\nPhwggc6n6MqWX5EMkn1VV/DjNukdgxx+SHgxTgrF8YrY9Qgdf09hK22vBI2DaFVW1SqFXwZcONnm\n1+m9g9kAXIbuuqAjkOkTsMs6IWCVEjzctQLJf0vY3uHQRwr9moQ6KHjCpYHLOpgjJFFsIrUDJaFS\najxBwBRbs+c57MXmi9VMOKX7e5XyuzExpqofL5K8LDyX4nzpuUnprTmGnH+SUz08liJxGZdcacj7\nThrx9cOSD8TM4qF/uI2WfKfHVJJi6rjdciLW3nuBS2pWiO9L6l37MAfW63v2FenT6zjRoOOfK8QX\nvqrnB736N1b6xfGbxF9I2FsUO/aZidJvy3XssXE8voaOJgMPRminbwedJ8Mk/NNY64/qXfjhZiVf\ne97Qq1p9cPa3VJU22771Wu7v13t1uZ+0vNm+solKJndJGULyJImLiIaEkieqKa1T9+cdjKv2y1du\nZGaKugK6csKjKc0JjL9JDJ46anrVNp0FFZzpEWIF43m8WnA6LgkVJqKRWO+Ci38qt3SARw4QH+XK\nXBP/4RDrh7B+FP/wvAc/9RYHvzqJ7QfDO/PwVl2HS3XHpU7NrqM/P6TZ/jHa/zWs/0VbtI7yETga\nVsDHa2hqJX6IIXPJmSRkDk1AD/0dmEZfDvFeyo4ENfaChQw5FV7u3UNZn+Twa5zOC9SkIVPJX8LQ\nmhAlvWYIpZ2CC1EoAIjvFIReIjbuwHlhCee4kLY4h84BvyoNbWKQAJQrGB1oCJSb1joG19PzoBCs\nWBsoObXbSSwWvMtzyBkd7i8zlXgI0fbs/S4i3Uz6lOAp7qd4TFCQKtxE4T7BYCbDtnljqSwOpVRU\nh6y1isUMG0K0S/Dsx2c/PZRnBNCvLuu9zCGeFM6VG5M4iZXBnuf2ikY3UjeNca1MmK6voUTzx4bR\nTM+kPvl39NK2h4oPUbGZ8gL117ys4Plezqe9s0Jhb0Z0TpK8doXndjn9zFBnCqvsa5jCykhqfIGo\ndVDTqlGSs1L29U3SNa6ALp49cWlwtAeGMb6dxjx6cgLdqR2b5vCBXNJpbVuGsqRLe/UsunuZGfPj\ndBg3o4ronSd43oMYmxU9izjWbv34S3TdeYnN95e4/9Dt3lf1HVff8KTpX95DJjI1d590lPDa8ovo\nrwpc6KpKqs5X/baTZLbJLe1R3NKtqLwrDJXde8PiY3uXvNxeLs2Xd36vaOGgnO5Ga/LPUTq7jZxs\n4ooqUjvDqiHRw4R24pcwXGc6aVLPHhKdlBWomX5KVDXIp2IllzWH8TfQHeCMxqPoojJP+6PlUs25\ncttT4W95f/aHvbdn2/+lW/0XbfF8+jZhTMC08vpJddI1m8yEbEmTdQJCn6Ws2MO5fdQWMeMG8k6S\namPq4uCBzhLSA4tnUrOIojfzJ5W8P5/UvcGelOazL4lNJJIC8f0eIWJ+lkPaTFwmeMT3CJ7zCsE4\nDUEe8WphfTtDABEnCNH817hmYpa1cIDFN1K0h0nvpOCggHtsp7NY8C43MOJ6LnurUJDoGfKS2etY\ngSrmzQhZPhdfSarQr3HX5iDt17eOiyZTHXHx7SyczIVzg3H8lXJWDRbwlmuFiEcTo2eGAFtUgQco\nuJKCszWXHif9ivi2c7iqklvvIB4rk5MMK9V2kslpBk8WMn8ZxW30zKZvmvSy2abfvIlbyR/dJ/Wz\nPBPv2Ma8qXqfLBH/j4SBBUHs5rwNK5RFTeKLEqYs2ypzXkKiNOXAa1MN3po2auzhML8tXhIw6fLD\n5O2haEkY/elcflzA2DmiGT08kac1rqc4J8T8ro6YWUB/AXNbwxiyjXGJEJxfjsYCuxpm+p8Vf+lr\n7/x7+/5yoi88/VmrmpfZcWAOX448W3qpnv1lIQaYmEhRIT2rGF7tA4u+iQ7p2/MUvKVXqj/PuXc+\nx9uXMYPEewrVjzlBOemGHPHzCTsq32Zi7159LxexeCLJJSQ2Mf0iZtRS1MW88ux4udqxxHk27Dg3\nBMgGExZd+5Lby+5R/ZaTBvphiuKPRmEurl8Sxt6F09VNPqVgZr/RHYcDmjRw///2K/v/af/N6Vav\n38yr4uforsLqUMN9VQ2pJF27Awvn3jzBizwlRKoLsJTkCDpiGnoZXEm6mnSGLe2hrlJRaSgfPWIn\nhRP43koG2oJa/9Q0a/K5oIIVNQFbXHY+K/eRvyJgjxdVs+kMY8exKY+pe9neRXwrhb10p5ifR24N\nO/Po2CNMzbmCwZvBtkLqOzgwnzVPU341mzfSO01Ymg9QUEbfnHCPxx7n1BQBLjhIaqJgFRLhvld9\nHxfz5EohwHRc8Hw3kq6g9wwPLQ/pst39bD5Ib6tgnM+O8GeQz/PDhJd1Gkd2Z5MensR5dP6DwCW9\nEGPJ1FOT4MBJttVxaJ2Rc8odnjPZ+JoGh1dnpM+ZxNJumpIcf4kF0zXdPUr7/ywOrK9fMFiZZ8/f\nzA6QcEnM1xmIS9RfcdTqD11q9C37dRyutXvTdL6eNPkNDY6UjJI4GuueUxKW0c8XUELeojcZfPWw\nzJBihYu69LUXqbq+Tfunz6g8Xqz50hGh27LstUThgMxtkbKjjTqWD/KWt1Pfz7Zusy7aYOuM+aIX\nks4ds9r90Vu8uOly4965wamfnVbxpik+t/Qzml+stOfqCbq3l0mcu8FTP+2nYxR5Q7ho0L8sfy95\nVTKpfLu2Tzd92VavHrhYXetxp3KHyTQlnNw6nJ2kO5KS5RldtRUyHTnqZh9z9K4S0i9gRGCRVA9Q\nOzzosJRWcdNRt+c+a1X5Mut3FDFxnpcemqnmmtNaNw0Vdw6h+LDaQ3scHT3HYGMv5vBSk9Yrhrhu\n5k8VpAYkLxiQLpr3K22gP6j9DoGV/y7t9Uu38ksBf2wPhPzOvJAw0LGCqIfBiwRDtVhgBNTivmyR\nwAWCcckR3qBh2E5hDaUjA7+w8Agdy/AzgRvbivwAA/RfzMAT5AynqJeay+l4geYmtVdfINO/XceZ\nNgPd13L8FEUTqH6Q41Pp76IkSd6pEJw6fprxczl2mr5yPE/uDdTWcPxJIVKTLyzd51C0juQVdGcr\nr5ZnaJuC5/yq1HWyNkwWutAdspRSW7GInG0hKy1nHIOvCJ5yrsBTnSBgoS9lezoTOL2ZlwRve7tg\npcb4VfTfCIbspKVbyNJKkZxF7kZG3sakARKn2VQTxFg+spRnItKHODqcN+by2gmODKfoDMee4vNX\nqVjbpn1Olfh4EX25bHiEgUkcbWZwKfN6aWvkxvHyXtls4NDcEKdLpRmX5GDMgUPUNXBmaNCF2L+b\ncZ0cmqtk9nbprhx9/S2GD8vTa6K58c9sji+Wn9jleMeb6dwvKh6lrKxPe+tmycx46T1bDFnQr+Xw\npRTWqR/+kNM9swzJf82J/tsVfKJb35YimpN867jEz2sVPNMn7tyk9uR+h9vewfF7OFlLSau/+N5K\nqVnj/P2MUb65+imP/fw2PRcXWP34slCVdX2SP41FfWnxC90S3Xlyi1qozpe6opInI5muHJZvZnAH\n18+mYRK7n0dM+RE6WiV+9HZF93brau4hLnPR3bvd0vaALyT+UuGqLXY9Wi5/7CypuFVmVyE7fk7+\n9SoW5uq+qU5pa4fWriG80M+mgj+cbvWp39PufPH1Sbd6HRvWp3GKZD3jLmLUAFsaaXkRV5HbROqE\n4LmlhAqspeQWkolJp0lMJlMkGIsfooK3XcWPv8GcT7L5KwKwepqqG2htDMveD40N5VVGoKKFLUMY\nG9HwiOiO6zkZiQ9HLItCskz1Pp6cQNcKzilgyZKw/yKMT/PPCUZvYe9UdLA4j8JyVv6N4AG2Cfqn\nP6X0zsDrHJHk6D6il7Mlq4uFtK2y7L+zhOX7FoG0f7eQQXWWETEoMBEKhIuZFvrN/tCvigV4IxZK\nBw0RXMaLs8eqFmCMZq68kX2D7FshZLKtCf2vmBE3UnKM60byrYzKXae17a8NylObX6DsQnb1kdok\nGPT3MuSg5IiZ4ncmZP76FXIv4PaIr29mSjlXjAsIRQMOxMofaNV+Qw9/M5I3r5T45Hlq/+KEUy+P\nUT61WfunasK8+LWUgkMDUr/Ik5mQFJdEim85bXzfQbuOz1AypdWyopWOxKNs+NkF7GbIm085/WSt\n+LyE2V3rbFm5UHRrv/KHO5zZV678b1tUlXQ6/IMJMoeTZv3Da04PVLsg8bLo1Ywt952R/N4SyYM5\n3jLmxz710X/gZz8KGXt5VcxaEKCb1f8z4JfXF4cKTN9g0lt32vPgNIpiPorrvsSYT4ZkuNyn+esr\nQrbeRa8EETLzBL2AYmHye5y6mxg93rQvbfXepd/2kQe+zwsZlifCyu6UkEfTcIaf9xvyzoyW7yc5\nlsTPFC+5xRde/HN3n7jTxvsWhbn1nj9CMcE//z3tzldfn4b19YuxGi5ghJPZ+02ee4SWHUKaTDWp\n3QIouk0IMs3FBeRMDobVMTJPCkboIZSTmMaPN5B3EZtXC0bnUoygdU/YJ97Dt35I7z+ydzcnX+Tt\n0MLFC8SJg+JMT+ARdu1kf3uY5e/cTeoY+/N4cGcIjuR2sqafxf1BTas8n2tzWfNDVj4mQBlX4UrB\n+x7HuCNB97SlIAh3xEWCgasI16lZkBjMEwzrBMFYThMM6n7B+81SfbwsvIijs/1wQqBYbcpue6+A\nEU+mcIGAWSeoX4yToYBhJwrW4Sj5L+A4I29n2Rx5hesYGFB1upnBdl1PlPC+mGc6KRrH+AyFHUFr\nYdhF1K6mc4dkdUbyyy9SWERdiq/vwCp272FDiu9107OPdWu1L69gaxM37CbulXl1t1NvG8Hn+7V/\noCQ4/aNOKfxlk4rUaek7Ilff8gtzL12jZFe3betmmnhylwvWrFbU1aPsZBdvS6NX7+YCeeO6ve3I\nXQqndvHWjFF1h0x/5zafff+ntH+gzsHPjlJd38jDx22dd47jn55oac6Lnhhyg3F3Vtl3Q7v20yUe\neO12TnQbPbuHOkrGNCl8Rx8lByiaa/pHd0tcn3LL5B9K3DrgxMy6ID7WGvGhiPEfC/oJbWtpuoKf\nRyyMOFxPfkzO05Qto6KSMWdQLTmu0ehrD0mV5vrizz5j/Lk71bzpVMi22ovJscqmk+EdWVIqdV6S\nqSeEmMRsPW17PTd4qfKeNmVVrcHI/zHaf3OM9XVsWJsED2wT4+ZSdVmo2lpQRuf3BOOxDLNIVgoB\notMMbA9lQlyIOwQPrx+jyWwO5ZpzTlKQEqhaXYKxyuAoo+oouAnnU7CW4wVs7eLAGZ5vZmMvl5dQ\nk+a1GvYeZlgZTxYG1a0TXYwZw5W5DM/heBONEY7TvponDjD7ZkYNFfINtwuW6xgFszgcIaZ3DXG/\nYDjPhPvNXUTBbDxD7oCgHNUvuHYxyTHZ7ZMCx7dDMKSXZs+Tn73ftaHf7BQ81XkkRtJ73NnaVU52\noyikYw5Jc6gEI+gfh3EcuJ9n1yu6bgx7N2vdWkVRv/S6PFPO26HiGyeCtueOroAzt/RwYhpNFVSN\nN9CXJzVmBP25nLiPSaOILiWZw4knmVHMi4MkK9TEjdSXMbmTKFduaadkbqzkDb3yZgnzU0+d3leT\nTj05gs0Ndj08yaZ7ztH49Ghxc4EjR+q9UrTUzzf9icNbx/LpiK1J3Ycr9BeW+vHyd3vtBwv5p17V\njzSpW/m8f972duVTGpWUDijf1CGqOyp3fr9E44CGzCTlDS22VZzvT76/y8HPFuh9qlBZ2WMOb5/G\nqXxdJ1oMSawIlSoGSuzoypNZneu5VbNlNuboWt4fFlsX7gpxzURjEPmO5ssb1SSRTEvWpeiuZNSw\nkB6b38yZmGXlKJEorHR4d5G8o23K5nU4sWW45m8MhHlzKonRA/JzW4yb18CeSPuf1bL2oBD4rWVe\nl8rGdmVRh7yhvaqX/KrC9B/W/kC6VRRFV0ZRtDuKoj1RFH3id2zzzSiK9kZRtDmKojn/3r5RFN0U\nRdH2KIrSURTN+41jzYqiaHX271uy1Qd+Z/tPNaxRFOVHUbQmW6F1RxRFX8j+XhlF0TNRFDVEUfR0\nFEXl/2qfT2U7Y1cURZf/7qN3ELULcvOL+dtBikuCwlXVdGGZ+xwOBVV6N+M0w4eRek7w4HZTViUY\nlwi1LL6I/KtYdqEQKHpV8HjrMZ8jbbyjHy9QNJz6cynJC4kDZVOD+PWn+9hfxP4fMWMqp7s5XMHE\n67lmKYkcdqZZl2Cglj138XhL9lzT2VLLsnnZaxoI/xa9h74ayiaH+9ArrONaBEWj/aRaqVuK2dn8\n81wSc/xKqDq9LtyzEXivYJDfLEAhWZ0DFwtcnyIhQeAUDpJ5VoBTsmVUFAgZbdfzixXBO9cczmOA\n3AkkKpz50h4yZax+geZDit/aafcbZzizbzIv9jI/G0wbPCuTOIY54/mHmMQEtHF6FrfnED/J6HMY\ne0MwOJ+aElYg12dCLO6jC5l2qdQbzzH3rtd0qZD8ix75w3vlTe1jSg27EqyZ5MA/TeF8otu7Dbny\nuK7tQyxb+KyerhIXXryCLQkFH+rlqpRRs3eb+bl1dHSxsdDGB5d4+LHPObVjlqEfbxTfErvlr+91\nxdoTBhfnylyVa64Nrsm/y+nqSqMqT/rRYx/XlBmi4xNvIjE/PJOuSx39QF2Yy0rPY8F0VtP0zCwa\nIp7P8MMM//Qs+YPsaWRpIT05Btp3cGcsvSmXqQ2crEE5zZ3hGf9oLQalXhrDT5q1lI5WV3dc75+V\ns6MyPLqfxjKFeU7tnu7AF6dzbm6oir5gMdXLsEbV3Gnu3/d21eUtWp4c7vQ943/3K/kfaX+AYY2i\nKCEITlwh4FW3RFE05Te2uQrjs+LV7xWq2P17+24ThJdf/I1jJQV6z3viOJ4heGz/JhnsP5UVEMdx\nfxRFF8Vx3JO9uFeyJbGvw4o4jv8uO2N8Cp+Momia8KZPFd7+FVEUTfztJbBPEC/C2pC7/9UaMg/R\n08fYt9L6srA8bhWMxgtI0HhxkLFb0s7KcnpSJCq5dkzA+pYN8EojAwPMvJkJVTy2m6KR/GU7D43g\n8ROIaR2LPZyIgpp+5p/J1NK7kN5jmMW2F7A9iETvXUXDm8J34/AkyRuQH2xoPA17Q72on/QKXvI8\nrGJUJ7tXcPJaIUPpsKBCX0f8S1STV82hewSjW4EzZNYJa6rpwgQxR6BhTRACUkfQF8p6xOW85Tiv\n3czhFiGBvza731Ys5bKJPNslGPwWwRuuEaCHRUIWWU2APTSy9ApeK2fgVaI6oyft16XEoVNTKO9k\nZy0LFgY917Zrw3PNK+Pgt/LMAAAgAElEQVTZoQHtyV9IVxub8ql7q/wb+5R99Izm50cEXZx7SJ9I\ncO0Ii654ydrypd5V/w31Baf1vLfY6YZaja9Us6aVwh1UXMADd5PXb1jX1U58aKyWg/2UNXj4S7dK\njEt74d4rjPuLnQ58YRplHOmfElhWO1YwcIzJi3h5jyEXljpxcoHuD5dLr2D34FT523uU/FWbL/b9\nPw6sLlH6s1af2/F5y779iP7RGcM+uFJZSandhgqY8qwwL676BQ9ew5kCNh9QsLla3zeGM7WPvbfK\nv2pA/6Zpch86ovSjlcaVDJq78J903V/mF197o56up9FB8WS6BzE5cLT7duGExqfO13dmDj33h9er\nZk7Ign0oprWDo6tYOI+/H87mDJmVzL1E2+lKhXM73Nd8a3jcK577fV//f7v9YRzVRdgbx/FhiKLo\nAQGZ/tfu9PVCcEAcx2uiKCqPomiobJ73b9s3juOG7G+/ieleji1xHG/PHq/t37vA/3QoII7jnux/\n87PnaxNu5O7s73cL+XMEg/tAHMeDcRwfElCgRb/9yLXCwKziyGaSuSGrKT0i8BSNFoxqoWBkIgwy\no4OSFrZ2kD+cwROMeANrG0LtrK+cprSfZJLTQ1mfYGEZc87wgyb62oh7KfigsFzagCNkSkjO4PxF\nAp+0QnBFGjCBzH4y15CzXYAhejCPdCtmEu0QRvoe8vaSbhSM7yYqz+FAZ6DORM8JgaPF2B8I4FOW\nEt2UVf/vFnDZiYKx62f2FMHYlpLbRU4rb65FO0U5FB3l3HHhfp6LQ/mTspLsedLh+s/yXnd04hc4\nxcTjgvd6Opx3+kFyz/Z1KE1ueEnQLH3P1YzNl3jwmEPfH6noRLvKCcVBI2ZBLW+YSn4niRM0ltBx\nRv3cJ4yYvyZQ0zYlmZXW/1SP5q/kK1q+g9rtbjv6fq1fG5SbanfTZ79jRONa961fKvH1Xfb95TSN\nPzzO8nW0PseJUrbvZ7CQjnOdeCyHqm0UtgVpwf6tMn+XdGT5KAfurmDYGva2cXw741tJZTCWhkMM\nLuN4nqkv/JCSTb7zN7c48skqmeFHtXyShr/MldpaqvXZmP1HrfzYOaKjR71r2Hft3nlQzh1nlCwd\nrrA2j4eOqv5ImUTrdoZvU3zXUPnrM2EufC2XxVUGTxxUc+cpyRvPmFD8rIMnyg355m47fzlocKCX\n8hlq3jGHTC/DFlC4lJknKD1M6QT27dP+lYM0FzBrKhu2MKyRq/rYtYbUCJ5rE13RFJThcm6k66Si\nh9br+2qZ0R2HvGXs/YG3/Mdo/b/n57e34UKq2dl2LPvb77PN77Pvb7ZJEEXR8iiK1kdR9PF/Z/v/\nfFZA1vXeILhH/xzH8V9EUdQWx3Hlv9qmNY7jqiiK/hGvxnF8X/b3u/BUHMeP/MYxY57h/Et45buC\nc3sMM0hO4U25/GwPZcPoWCNESAcFXLaH3KWk7qdoNsnFdN4nTEodwnJ8mGBI2gU8Mim4LNdl/14p\neIzXCt7nAsHYnH1mHYJneDZCnyeQ/zJCoKgme72Tssc6KQTaqim9gc5NAq56RAgk9Qhe6m5hrVYi\n0MUy2U9R9lwnefu13JMm8yilV9D5L8Ik1C1oHzSFZXp+P50PUzAu26sVAWqwnMTFQTTEo0IIejRF\nF9Czxq8pbHuzj3S1wDrYEY6hW5hDt6BCxTsukX9t0umKGoP39vGjR7L3W2dy8xwdTeVOfrTWkGua\ntHxxJGNjNq2kP4/EbOIGtx1a7dGbb9Z1SQlNbfwgn5LGUBK8OxX653PX8ZmVQfD5TfN5+KAAXezh\n8vfRl8eOdZzeKODHJQKcMcmvxM5/JVxTI2ALO7PPdKzgYq0MXZX7NlJ3ZcfJeCGFtFmo8tCe7YPx\nYbxVHOTM3uzYWYkaJS/Pk/fUq5b/1V+5Zsadmg+kXNk/3rMXXSJtldF/PdbhN0yVs6rf4MsFPJhm\n7V1c93bWRZxsYXY5e9ZxzbnUp0TX5IpTBfykn3kpCorZ08HEE3ykhnEDgU9sP5dezoqnGXEzxf1M\n7eHRNRRcTN83qZ7IwBV0NjB3CvPylNafcscn7/WtyptkUhP+cFbALb/D7jSupGnlr79v/9z/cq4o\nim7EFXEcvyf7/TYsiuP4w/9qm8fxxTiOV2e/r8BfCA/z39v3BXwsjuON2e8fEwSJFwgM3Ofwl3Ec\nv/C77vH/hMeaieN4rmD9LoiiaJlsTs+/3uw/fOC3nm/s3zVw1bv9WqB6PbNyuKyIofO5oYTr38hb\nRguGoAcLSW7g+x8OFK3uU5TfJrwYrYIBniwEbYYLEffTJO8kSgmGMMr+u13w6l7Jbpug5CbBEJ8V\nPjkjpKbeIeCXswQjOErwpmPBSI/E1UE/QKNgfCIKx6OK4kUCSnI0q7pfn72fk4JXHHHbXObFZDYi\nnzcOZLcbJhjIXQKzYYA5KVxIwQw+fCXDErxjTHZEtHBNBSPvDNe+4HyGpUOmlWF8ZGb2uK14kzBh\nZQQubJ9gXOZjjFGD+918/k/cNOZeZmaouyrbP2fsXTPNdf2PMXJQS+2QUELmpgyZbMTppm4W17vv\nK7frSuYzoV/ZwuZAWZs8lFSJYMAu4Jk0f34xC89j61mO7WlcxdwBNtzDmeHZ53VYmJgqhdXinuzz\nXiy4SWdLoWSFvpNF5NZm61M1k1pJdDWl08k9u20Gd3NlmQDR9eExKuYIiRstgibEVuXxQX1vv8D5\nt6/TZghlVzvSPEa6L6ZgmcPfmsC3yZ/YFYbjJxLc/g7q0nwyw7n9nNjEsGkUZhROPO2m0Q+6cP5y\njqfZOujJ8y5h24BZRafDPdY1Ckke+5hbFsbLYEyUpmFHeH8+28rIWbSdT1cDhobh+Wysc0upjqYK\nmUzj//ou/u+035XCWrWMKZ/99ee3t+N+rQ5EsC3Hf8s2I3/LNr/Pvr/ZjuGlOI7b4jjuxVMCRvc7\n2/9RHmsURZ8W1qTvwrI4jhujKKrDC3EcT42i6JOI4zj+cnb75fhMHMdrfuM4MR8n2kNcRWIZmXwS\nV5PZLrzo9YIBSwgvzm7hpRqDQpKTSHSF5V2yPRTsi896KK/+v+zdd5RdV5Uu+t85VadyqbKkUiln\nWVmWJVkOCpZzwAbbGINJBkxoMAZuG2iToYkNBmPoNslgDM45S7acbeWcU5WkUqlUOcdz9v1jHeN+\n3Q2Pd+l7X7vH3WNouKq849p7zfXNOb/5TWJDQ2+o0NyJ3F568tN3sE9AO5WCQR4tGMM2YbJuEYj2\nU7zZ1qUIEZmZDI4J95iblxarHisYyHGCGtdyAfV2ChO0VJjsw4QQx7H0vs3pf6UCKi4SJnmbP3Xq\nVCMg2twwDtln0bcufe5MTA29j6IGUsOJ3kD4teln6xfCCm98RzvSf8sM5yiYQOd+YbHJC/eR0ZUW\nHm9Q/ulZmjbXiSbN5rUY258RChKyuWYx0/v5+U55Fxfqvms4s+JsbSW5P6h3lXTKnDlZcvsxUVOv\nYDBb0+MzKESRjqTvt0ZYCJsFxJ+Bi8nfTNeR9PgMFzyBlvCcucX0nky0kURO0JCN9qfHL0E8Gfpw\nmUI8CtVkS0cxr5F1WbxUKxjNOPZQtoJZR2Rcdabxt+7UtXioY8tGceM6qjdiwHkfHqa5oMO2nLPl\nZb6sIDnf0Mw1zjmz2rduvMlTPz/beU89493X/8bdN11tMDsnXKIRw/v45ZMMHx/QZJTFfiZe+LCC\nyjKbnx3NziquiHNzk/g3B6VuilnywhYvLKlAszFfzFOzcq7cS48bfFep5R9/0dNPNVFwEslueo4I\n4aTVMq6dK7m+xtzzf6Civ8nKf14o6r7lb0esl/2VdufBf89jTedr9gi8wjqBxvKuf9XGWiwWuwCf\niKLowlgstgg3R1G06K88djU+F0XRhvTvxUJi4nTho3sSP4yi6Mk/+4z/Ow1rLBYrx0AURW2xWCwt\neOZr0uy8KIq+m05elURR9Eby6k4BOlQJVubfJa+CYV0pTOQT3HAuP/o9kuHjP/1jvLhaYEA/JqC1\nQ+GyHyzi4Ua6x9O3j1QTiYFQmVR+CY2rWHY+q59m5vuC/Rm8h1icJRdzxyEBkZwmTKZdwlhPEIxt\nrcA4SGf4HRJOMhxt5FTR+3z6+Or0PtvInUxPm4Bys4TleyrqQuw271U6Lkpf71SBc9qOi4kPJ/vJ\nQHVK7RQM/ob0c6fbeJROpa1XYAe80berP9CoFDGkn9ZnWXEDe9ZR18DgRDJPCC3C08UHl50V2mI5\nQO5ReqYKyPCoIFWYE7oKRLNIZHJJifhgUmp3XFZLv/7TElwe4+NPyfr0Urnv6dH2s5Kwbmzvp+8B\nH7+zXu20Qs9+6XwZn0/o/GGJ1P64qCgeHmmkYBsTe9k+iRHHxdsqZJ3cp7ckl83xEHFZnX4VL/+I\n4otorRYWypZwz+Ov5dDPMIs5Q8g9nVfvZMykUMW0+CKeTdB8TPD+ZhCbGsRy4s8ydgZlU1l3B7Ou\n4Wre/6mfO9owyoZ7Fhk4lqlzYzE1B1g64Y0O4Pz+n2kuJfsdJq3YI//UozZ/tc5FR+JyBzI8/tlL\ndE8oCOvacTL2Djr5n9ZYW32q+NGknFd6dWcV8hnkE/u7pGj3s0GxbNFYhs0KmgQ56Hqchml8PEbH\nOO74OWWlrqzvMab1sB/8402G5e52/FtP864PhI4FzzxOXwlDZnHSYYafpPCzrTp+Usy9/0Tqc3+7\nYb34r7Q7j/7HBQKxWOw8/FiYhL+Koug7sVjsOgGY3Zbe56cCCbwLH/hXrv2/Ozb990uF1pjlwtva\nHEXR+en/dzW+KLgmj0dR9IW/+Iz/mw3rTCE5FUs/xB1RFP0gFouVCrUiowSYcWUURa3pY74gINoB\nXB9F0TP/wXkjfsqcj7F5N0Wv0DYG3VyyhNxc7v69IFn3PLlL6akWmgFOJXNNQKdTz2T76jTSfSmQ\n3QdmBcm95AMhBhu1hZruzLF0bgpiHPrCbZdcQ0uXsBZ8mPzjdD0nIM4Sb5bSdlMwjc4/CDG9Isom\n0rSKwrMD7zZxUmjJbTsWkD+erldxDvFyqvo4ss6bJP+jArLMJnac4mvp7KI0h/qnBUN/v4Bys3Ek\nuK/KAosg9n6izeROxQNE0+jdEhBoVyyoc6V2pO9rtxCGeI6My0n+GhlkdjI4VIitdggz+WJvsg4e\nUPTJi0Q3Ddd5X4XYiUjyZ7U0jCDnERkrL5EoH9B7SR7XD/CFBDFycm42GCsUj3VIDiwWWzhbqiRT\nak0GOQ0crqWrK/QxK5lE+0tiRf0ysvcb7L+S/ofIHELnGWRuYe757NpA89H0vZaH8SsZpGU4mslK\nhTLmthSJLHLfGcZpMEXPGzS0jPSYtxNroqiUaHdQDssopGyIPP36M06RiA0x2PW8gcQCBu6k75Lw\nPcSXmfngs/YMP931Fbd4+u3NDm47Q+e4DMM/t0jL51+X+8ypWu8c7uvn3+jLu79LU1LOrbfKfcdk\nrakzZd59n4E509myjxUXEIsb8f3jxkQ7vPaOt3E06fnnFlu64tfKbi7W9I6VvHsZD9bRPYpf9Cn4\nyusKUvscH/plBTkv6ly7loJLwnedOJv2QySqZJ96j4HD75IoHvDbG9/rqndfycCVf7thPf+vtDtP\nvjUrr966Ja2xb/CRm/iXe7wZs9xK3mTGTmXn9vTeY4SJPhfbmTebjfu59AJWPUZnuZDkSJKYw0B/\nELFoauOkqYEOZAuymZTHgTGkGgSItZDMFvKmB60A7QKUKhNQ5wRpkqLAB41I5DOwTwgdjCMRY7Ai\nhDSUC4mQN8pOylETtAGSWUIMMxmy5ANvhI+aBYN2LH3NWLhWxukkDwhu8oz0PWwXQgI94Xl0kHd2\nWnSkjZqjXDaPZxoobOB4mbBAx7CD+ATOK+aJQ+SU0fuKEEvdLIQ9OoWk0KhwbseNvHeivv052i8t\nFN8R6flxAxvHUbZL3p1Vul8tCvb/wpS8rg4Dh3IMxLIlxm018HqGeEWnVP8C1u0n1cX00azuYXkF\nz77MO5fxSC2zO9jXRUE+pwwLTQuH19HfxsY3QkM7hQVvMoWtTCijpZmadUFxqmQ5IwcoaeeFF0NB\nRbyJ/sz0M45lyHJO3ceJyWzLZNxeDkYsKKIlZcri4/bsmib+0SInfetpO2dNlMqqYs1uiudRtMnI\nYRytmyDvO3zhte9rNuj27E9q+dFOM39cYvyEag/ve4dF815S1NuqaHSL5x9Y4cTRKrGSHtGqFJvy\nZc5cL6Nimr6afBamzOrZpGdWvn0vTw2fUVOzqklH1D7dZ+E3+qy5ZRp1T6t8YbYp2151PDNb/IJZ\nEt+rteWnRSyZTX0muw6E7zN7qIwVpL40XVn/CcOa6+24ZzZ/iP/thnXFX2l3Vr01DetbV93q/Kt4\n/QhTFjNuBC800jOHaXnMyKNmDF2NgoGqoiSbzJPZl2ThcHpj5A6nYghdC0OMtizOnucYezlNf2DY\nBVSnGD2P2a0cHoYNjC/g6cMoZbAnEMcz6xksEVoU70OCzO5A54rPTsd+JzIwQVD7f5JofjDkNglZ\ngmrMZWohu9cT6yK6iOJBri7g9iw6ShgYKyDh56Wl5YnH043gMrCcZBuKOKeSfTnUjaCwhyF5TM5g\n1ki+ez9RNmf2kVvCYAa7s/lQFS8UcvwpAZ13YTipJ3n977Ca3kLmT2P9ERST6GP8AqqPMnQUR36H\nQslT4pq7yiTXZrItziW5XBvj1ycp6ao2+m3VBsZmOfCrabpPKyKHynlHzH77bp2nFakemKS2Iyk6\newK3x5nTS1txoARNPM2QTzRobxwp41M9pg7Zae+m8SrLah0+ZTwvTAyRltouWp+hL0XWMQZPpaOJ\nWaMYP4S7ukKBQgqTE8TK+PJl4XV0Yuggr41n807aX2DHsqCENj2X3NmUtMsclW3wwixzT3tV39wy\nrV1JR361SCIzR18ij2Unh6jQ+LmOPvsoqZjuj8z1y1ve66OLb9Uystm39j5h37/06Tp3ofcNuc3G\n2vkSJ/fY1L3ceVc86vXDp9q7ahZFMT7NFy95wMuliz33+fN4KdPWl6Yovrc3YIyVKClVu6uAwees\nKV7OR7P4WqTuxXG65oxw2jmrfTjxBTeN+Qz2m/C+IQ7UzubWKnpLiBWID8+RV9lsWnyH5sVFYs/W\n/C9kmv+D7c9Tqf5bbG/dktan/sjxoezJ56mf0fMgWthyPHhtXbcJ2frDGEXLMBpiQQrw4NyQIK3o\n5lADJ/5AYzt7ytGbRjgdZPWEflC7f83da1jzj+zrYeUUAQGfSP97nsGL0UNsDTmnEZ/B4AKhq2pK\noCTNFNzu+pB0sFcwqs0C3SoRrrv7aYwmasTDNJ3gllo6DgnI6W6hb/yAEO+tIjVeyG4sEhJME7GF\nZ7Zw6H5622l4kQP9PFnE9x7CpWT+npde4/61obx2F377Yui9ZImAVjsFpkkJExvT97uK9ZGQA0i3\nntn3WAgbHHkyVJfFStXdMopdUQhDX57kyUwejnj192rjo3QOzXPggWkB3B/CE9Q9McozZ57p5V+f\n7NjWMaIfZvKZtgC6n2tkfzLUvux/RPsPKmhskPxBrh0/PtnA1zMc/uH4kOxvEgJN9c/QdxaLJtHf\nyQ8TXDyfF+LMKWbfAD9cxoeFnGA9vv5N9hwLw7k5g/FVvOdsxl7gbRsf5f25fESIuq0tMNiRzc9i\n7mq5RvW5U4yr3Kty5jHvuvxuWSW9hu7/UVgLb/+pt/+hnetnmv7R7X429aN+vPWzCndWqChssPLt\n/0PHuVmUp9ycdYPDRjlxZKTH+i+y94J0MUEbbljv6z/5ptWHzzNiTC1fjZQfaDaYF2MVo9fuCSD9\nxkxWnK14WVuQhSh5l/cs/6P2L5YqzWy2yzQ720qIehz4h9GhJqnucVqGMDVpdNdhk6r2OH/EY27a\n/o8yVw77m6btn7a/saT1v/r21g0FzGhgdBO78oPAdVsWHceYNtHJHz1kw22tHB1KW4VgYKGdoRfS\nW8ayXJ7fS14Xl1byYj15I1j3EkMncmIbk09jeoqaAYZPCNVBe54V3N0K4QvvFdzgdOmpw0K94Goh\nJFBAopaBIsFy5JF1RZAdVEPuufT0CSg3rTqVP4WuBiFhOZWJ49Li2juEmCl0phkGleljT0JoV6xv\ni2B0Lybjdaady/afcckK9jYESk39UbbuYNi88CiJCo71Mv04zVUUNfNab1Ckzx1H/6QQh14+hVWb\nwjMPS1B/wpuVZG1IMek09u3DZNdteNArW5eb9f61/vDJD8m6tFP/ygJZUQsrsvUfSLA7oejyBm31\nZUakjjh291j5y5t15RSo0KQhs5LnjlM1nGe7uTqH2xpJdDNuDNv3cs2U4H8NYEpKUWmd/sfq9XRM\n4JlmWkbS/SixvlDhVn6EHywPOq1PHVcyb5OWyy7kh0JDiFv2s7Sc5/tC++7OXlJH6W/kS0v5Qyz0\n6RuJjZGMM06oXNyu7ugY5eWN6u+tlMjoN1CSzc6IvkF2Dyj4cq/O35TSuVt80iTRJIrGNWt9vsLU\nr+5wbtUjyhqaPfbpyI0/3GVb5kyZyaRXuhZbu3ax/PNaHF43QfFLh33tfd/33eSNDESOvTae25ny\nja32rpkuGhHn+RiJJn5RZ9iDJep/XEVdJPHddgOPFyn4QIsHE5c55+afi+58XOZPPmBwZcRriZDE\njc2Q94ERCm5uNe/QJs9vWK73hg20Lf3bQwHz/0q7s/6tGQp46yLWE6WMmUJrLke30JGNHE6ptKFh\nMVnLaWsUqrMmUDISi1iQQ/LpIHxSnEfdAX7eyf59bOhBJmeUkDWHISN5pZy8clr7OBQjvkhw208X\nDGc38kPs1BAB8hwTklRnYnhw/5X6E1mv/1nkBq3TnmMCFWyhEP+bQdchAWpdTOz0dBuWxwW60AmB\nlzophCE0CCSL7nD8uRO8yVLoIVnA9qcpuSo099tdw8oHGTUGYwKT4JzxFCVIHKV1BHVxEpX0v0x0\ngO5mBh8PyaI9Geka/i3UbxKqzM5BIbGzgxu9b4NgbGscmDxB9vvbLBhcq/DjTfp/XMjj9J/IM3TB\nMTMWb1c2qd64pkMWv2O1xMU9ii7dq6DzKFu6dZflyfldl4x1vTycCmItD6WoHMq2xrT7PppHhcjI\nFtwb1/Z0lZ7n51HbS+1Wuh9kcRnRUdRSNpqfZ5Oxi0SvlurTQvvuaE9oFjm2j/EJ5hYyto3p9eTn\ncPo47h/gcjJG94RX+vIqyZ9mOvqpSPIPWeo3DmVizEAq2wWXPSh+Xp/ckkZGtel8tlTeF9oVf6VM\nxbtPKK5o1Xq0wodv+bFzKh91YP9k43MP+vsb9tvz/UIXdT1h8tBdVrWeb9jbjqjfPtLoozVa60f5\nTOyH6g1z7P7xnDFg6G+PSY3KEI3OECvvZ22vBaNW4hntx4vY1knHUV8r+h+satT5fJHuvjxR8RSc\nYTCeR7yUd/eQt4iiVkPi9dperVA7brgvvutrYm8//T9n/v5fdav/ots/x0OxU14vGe2C73c4FMvu\nwv5ugWp0EepoG4dK1pUSXxzIXINpzmvpGPpOTlcbpXiomv5qVmSSeScv7wzllgOrSL0guO3/JCSL\n8lHGQI7AcZkiZO23Cu762PQNDxOQ7gSyWshMkioSjGQt2SMFetVDAjVrGTaR2MXuJ/HeNEF9gWC0\njgsu+kEB2U5BTqjMkSUY6VrByI6h5RiFbWEMlHA8FwNB5q96kK7DHH2NjbsZ2cpzJ9BK4ioBCtaE\n40Z0kZohfDr14ZmGjwvjEDUSdQk+bybDFsjK63Ps8XE+d9+tOjaUc37E4hjP5qjrHW7nC7M1zR7u\n3V33evUTK/S25+ne32D6+dX05Rs4lCExbUC8pZJJcQYSHI6FSRev5tGIvKNB/WkoXsfedOihESXD\nhAReLq+eLMQTdrCnklGH+c291OYGbYmnYvRvor6F0dNZm8+6lxmXx+ZNNGbzwnNsa+LBTZKrcgML\na/RYhpUxenJ41Y9lhtd9mCc+f5lUWY6e1RXsSXE80v3NXK0bSlnYp29lNq2sbLhQXrzL0w3nuz66\nxT/P/4Bz/2mL6774CwkDMl5K2bNyjmHzjjqyfzxnZUk9mO3sUc+YPGs7A3Flw4+ZNXEjEwclpvZQ\nkmNDxinIlDWni856jv3OFx/6PLnlMp5L+vvp32bL7vA93djOnji/fY5UHXkLHN84Ut+RHEfWjzU0\nXs9dqb9+jv6l7b95KOCta1gfEQBcpaAq5SPICNy+RZiQyZgc7KFwGal63EPlLrr3MjeidAJnnRpi\nntoFl7qGIZNxKKDUY/OFnu9l5BULxu90wWhnCnHIDgySfTleSiO6qcTeh58LMKpE4N0m6V+ESeRk\n+1MpbPSiUNBRKWTx14Wf+/sEN78zCGPYlb72XMH9fqOSawteYWKzYOz3C6g5JqDcfZzoDA3/Cg+F\n5J1C2grY38ToTE45O5yjOodzq8hchINMOELiC6imbRIT6zEnSNg5wfFtwqKy1ZvlnIuov8+YniPO\nGLXauNP3+t6UT4nHB8MuJ1OY16nwqgZiSTXHxjj7q4+yLuHknMhz/3ImD3fLv7VP17Z8g7EDIa5a\nWcD0eHi0suUUx9hQGFzyOIYx+sYDoaK4XHAq3ujWG98ccnuxUXiV5oIwdvHVFI1gRsThyYzrCcNX\nI3RjeGoIY89Oj2kHfsOuXX+KfOieFGooNj9ATWsIb9+YvnYKtyNjNV2vBarv0nqe7JB1eEDfjmy2\n0fedXLe88jnlHU2adgw3zAm3JD/puh//1CfPWebqc2835/R1crp7Dbv2sMltO+Se3G1/bILavJES\n6wbt++hsrYp9acaXxdZkk8tH5vwMfTpfjzFhAi4XL87hHIZeclxPPJvaCMO5OBbeYf7wEPaZv03R\nkG6Z/f3a24t9+uBPRAN3/b/NzL9u+7+G9b/odvsmup9m/dNknUZ+DRppeTWUIWx+nJo0yup4SUAq\nRRydwLCakDeqjpLTcC0AACAASURBVHj2GNMLGVnE5CqMJn8I5vDIVq4sp/xMTuznssXoDAwjVUJI\nYIvgpm+n70F0kdqEUqJNgjFdIfBOFwqTfBeDz6WbIc7G5HT76nPDeUccEnzMRmRSGg8q81GWN2lT\nO8gYJZDd+4SvcICX1iGL+J8k9gXjeoyhnQxU07GCA5vDMUU51KznqV2s28PQ0xg8Tnk/g5sZ7ODA\nbLLWh/sZ3c/+Z1DMtOW4lFh9uKZOIRTSJ6DZyOvHznDPa++lOOXv/+XvZC/vUfiuZkM+1qyktk1O\n14Dsnb1+uvmTVv7wYvXfGuFQ8VgnXVGj7I5uFV84LnPCoNjyySFnNzQjNECsRmGMT8U4e7iylnrO\njihLaZpQZsrUbbLv7pRR2M8555PYTWElRSeRlY6HX1jBlecwdomMKVHoAjF3GIsqw3o5Be+cE9a1\nheVk92M82e+hYDSzd4RvIYZTk9x4Ge8pVvSZBj4lGNs6wcCffLbY+99mypXbZD9UzavPOnLhJMkh\nCSd9cZO6+2rF8pM+dspP5AzvcFH0mJX7zvWHjvfK+/VFkg9VG9ZZr3fXED3JQgdnTnTmspW+nnuT\npS2rDXx8v8F77nX4wfG+9aWv67vuKQ7x889cj6EmDl+v9Ip6MvZIHR5hzKQDUpdx4mBl0FeIncSS\nTE6fRSpG/1ReiOs8t0BySeSyGffpvaWYrBF/07T90/bnSlr/7b+36PbWNaxV+0idK161kK4f05U2\nYmMLQjY45xxKq0mUkdsf6tCND3HDxnnsTJGRVr/afIL6Axx6FAM0PIJD9BxidRGdv+FgjAdy0M+G\nPiEzvklIOF2a/r1VkGvKEdzPeiEztDrcmw3pY6oxj9ipadJ+KQPt6f0KaGjFFRSejxO0bKegUEC9\nDYKRnppucS3993gozyxK4gCpEUG1KfNMsseF877eSd4QYuPobwjHJY8EIY5YHvFTAgpTxwMFgZqV\nMYEhvcF4DBnBs3cR68UadqUwMhyrlKLzyZ6e7hIbQ5mSikbDnzhmRO4xRdmlJrXu0bGrRPuaIY4/\nN0p+VZuKkmaTr93O0hTvjtQPGWnnK7M1/ajS8YyRcqr7pF64k2OvBYZBWxTqEOoOhQK3X9GysozP\nxsQyGSzKsOelmfouKZD8VQbPH2X4u2mL07yNvjrBT0/ywCoOxSU39PBYxIZ1PLuZLQOs7+a2PVzZ\nzh2v0Zcu5+27k85m7tgaHIjmXfy+nw938DPavl0RPosn+9izjdt/xDO/E/3ooD3PzNLX0yBz5gjx\nkYOsYOfVc+XmHNXz/UK/qP6Y3h8Veb1zsbrBKvu2TVY66oQlNxy28jNxS09eqWN/kQtPPOKpW9+u\nad9Q3afmSQzLo6BX9wVZRn2qRu6sc2QuWS/zkjJU2PPLMzSvLAnNI+8/qGblBI3XDNe7oYhRY4mO\nyb+3W/zIFhoGyG+jp03JhmZZX0t5/NFLZG3qpWfDf878/dvUrf7Lb29dw/qJKziV2IpKJn5C8PHO\n5KyZ3IBPl3Hx+cQ38PG3Ez+ANsaPZHwJYzKoPIXzKklUER9GRlpmb8FpWMT8d1JQxrhPUFJB5t3S\nCmJknSRAktOwkpwVApqsEAjyWd5Us5osQJey9P6zwu/Rw0S7hHjpPIGTmklGHbrSgiyNxJaS+4RA\ntWoVwgVvkPz3CAi2msxWTjlPCA08QuYwYk+T8UTYf9p0zr+caVlkLiUjRVczYy9j2gImpVg6izET\nQzSiICOMS9EMLj4lSNKdtpQrrkMLsQ24hVgFhpK9O1RjZXaTfTLKHDs6QulPGl2b8UuzPrtJTfno\nAGo3RM5976O+mPhHn7rse4pPaXL3kktZyIy2TaEFWc2gpVc+qfTqRom/u4ozTg0x9LOlxd7mhbzZ\nRcTuSXELhTc3GnPscBjSz+AdGaGDxLE6MqL0O1ga3smYKHTW9Rp9zUELXU7oRfVikpxB7OCRAcE7\nGZJ+T3k4HBgjV0R8uCpUcV3Sx/eEOoS7kZ0MFK/kxfROYWoLj0cU5IsvGGfEHw+F5/jGoMRXl4tf\nnVTXMlLBpxq8EC0xduRBPfFcvVGurzd9zWW31Xvs/IQR5x1UUz+GLH4fu8acketkvHMY3/mgqnit\nK8f+XuorGeKF052+9F7M5qJWZnXheS7Io4z4DakQzh+9D7tkLcsRO3N6UL/KXsoZC3XOLTT4qQz5\nM7rk3dBJ5tX/Hyfqn9n+m4cC3rp0q8qdoayxspXxK1j9ZOBqLrkyEKR3NVN3mNoagSW+FwnmL2ff\nGhadFqhTbaOZPIHd9USp0CbkG1P46gEuWsDuFAuPc3eKuVW8/gvefhkP1Akc0jnITCtf9RGNENz9\nbrSTO4Se0vTfjgrGsFyAOvkC2twq+Ju56f1GEa9NFxVkMu4cDiWJ7SdKJ8t0Coj4DVnCU3GcEZkc\na09fIxXOPzfGppWc/042JZlxgLpBdrSFePD5EzhxhM52Jo8KhRWvldGVzqDnF4WfY93MXMbW32Ee\nIyZzLF0MkTeU7o0YTe40ejbhhPHfXORw7miDRTl87ICZL7WqGzFC87ZyqdaExW971qsPLGFzJncc\nIGdQ9tWj9EV5ppy33YHcSWKSBm7IC8p7v8OXKOur1/TEMKN/uceJx6r01hS46ou/ljDgRNNw7d0l\nXnvxDPGhg1J3JLh3fTCU2Sn6c2nZbtLz8+07ayIjnqJ8BGeezFYKZ28x5NIitavGhlB3Ughn37ad\njIbQYTbjMqMX/Fj/bz6g4efDJU/Kkhtr01NTpPLMw+ouG8mSFobnsCqb82LszvCOF39n88llDuwo\npTRJ3RGZH3u7wV88x7UrDCns0t5VrOrL1TofKpJd3G1CxQH7CyfpKMl1W9UHXHvT15QtLfHJwp+p\nP6VIddMEj0w/SvJqzh0Uu2i46IatfGguv+yhs5olMWZO5dbnqZrP1AIZ1/WI74oM/KaW6tHGb9nj\n4Htn0ZNk78tMny5rRYHB6xLK+o5r+GAVmx4hetvfTrcq/yvtTuP/pVv9n93KihkcH1Sq1vTTl43F\nISmzs5EDe+kcKUCvHcggPpUdh4Ir29VMY4KWA6z7BX39tD9FTg1fy6A0Ykl24PP9rp7RYziaQ+Xp\nPPG8YCTfI5D6RxBVp7ulvi4gmtHhmj0tQrJpd/rv/UJc9IQ3mx2WIZP86RhHRl+aMTAkPNOhLkEn\ntQ7HyCkPKvsmEDsrfb77wvVaqoTsyYtC2KCRTXXh50NJjm9lVTEXT0Yv2e1sbGRzHftLQhPFV44y\nu1cQ8TlCV1O4/yib1kEBkddSV51+GRl01xObi5PpaRYyiDMcPX2EuUueVjVnAyuGaD9QovFjlfIe\n75GoOK6zM9+SmU849eqH+UA+k0v19aGCPV+dIXtLj4Gb80LC69iA+PhBXoo0bRpGA4d/P0XvAwXM\njNy16d3uuPk6+09MMrVkm4zfD8r9RS8PPxNYHr0NnNhJy8uYYt8vpuER6ifSk29IUTOvvqDj0Q61\nHWO5CxkdPL+OO58Jz5ncgU6S6zQODtP4x0rJtVmGPnlcwW2vK6jZpO3WUt4Vo3ErD+4mGbF6B43r\nbPnWAgf755A5lZ5JxM80uDebU0/hibiy7AZ298nt6tTWnOXEgSo75kzVsL3S8u5nVb3WpvSSYsdv\nOO6uZW/Tm5FnceJphn6c5JOcM8KYua+EEMCqfv7uELFdMk6vlLOvnmgbee0UkvxlroHCvMD1jo47\n+L0Jgc1Q9wg5/cRrJBszxb6dNHP2JtO+vcX/U6T/b9j+m9Ot3rolrdubsYOdx7j507ywmCfXyq5f\nJePyC3TnxXnpdcFl7gvu7CXFgVqzcQTdMYoyOXkpi7PZlmLlB0Nx1KgUSkOD0o8soz2LkbEAEkfN\n5Sfl7NwmxFKrBbR4ONzP+67h3iTd28ktZEgh9T8OHU5jS+l+nPi0oKqlR6BVVeI3dNVhHksm8tyj\nGMFphWhm4KPsyKFrNb2/JeOScHy0hXlXhOqsYwl69oZ7OvvjrPwJn7uQlgn8aicj20guoHWA27ag\nPohanxFn7zQ2v8CZF9A+SFsfsbcTHRZ8srSU4aLhHC5EgrIhND4vtAl6nCuXUjPIhhIGfo+r9H8r\nz7ohZ1MX4/Bu37/6S65se0z/sSylu0/YWraAp1PcN8jGFxBT8b0pJuXu9+r0JYYNq9c8P6knL8vc\nI+utqV0SQP9E/Iy8dzbpnlhm5Iz9xg854ODmaSp2Nyma0ib6OItWPO/ZxRczpIdXjzPjXKoHSDSG\niMCL5/CeTKVbX9L9jtGKB2eINfdoqYz450hmKsPg8yfz5Yjv76SxhLOu4NkXdee+V+Y7+4gn3Prl\na/3euz31+Jl+e85VrrrnIRUfn6jkxUZ7n0gY8/0cNb0zbcvPccqvb7E9MZehw1mSa/R3Djg8o1fZ\nnh5FDa38YKwRBbUad5dqvSRf+8xyeS82eq77bLtnTVG5rsElS9d6dHGRvheyrPvjGRz6NfJ4lerb\n57FzCx+p4jvHyb7E0Bmva3j3At79EY7ElX7uuK7ROfKODmo5o4jafFM+u0NtyUidd5zN19dwaLrE\nKb0Gb8ySv7Xfrt/O9m/aQf2vb29hN/+v2d66iPWT03nblYy8MjB91uWQk63v3A/oPn8Y9QupXCHE\nQdsY3MfaFsoTxNoYmUd7BQ3toYZ8fyPzjjGyn+0dFCQCGN1YwJAsNsfYH/GNaoYXCmhzpcAV/aMQ\n1OvhxZxQ4aODni7qDxJbSM9Wuh8J9566R6jYmo2nBFZBHzkn4QQn5wvWI5dXnmVzIyWxtHs9EieR\nXI1G4gs5OEhTFQM7uON0DOHAWgzjjkG6Myl5PzVFTI2H5n7jz2BoPv13UJkfCgkuXBHUnQazaCoM\n46aBgrEC1ShGTQfXzApShn0ZQhhiLYayaTc9L3HJcAGx7jfx+7sZkUcqhxlz/bT770z/6Dr9p+UY\nVdBg4YwXjLimhjk5zD6Xvz9HwYP9Lst/kE2Z5veu09eXMHBzni3H5ouOx3k6FvijCbrvKwutnjJ7\n5NUPmvD23W648AeeOHaJopObdefmBYZce27grR56hN5HaF6nYspR/kch1bmaB07SW5un9YUymeWZ\nxuQcoJuoOpObkMigrQznsC7FqITygU5nT3larG/Qx175hZe6zzSQmen6J37KuJThxxrsfWoum6n5\n8jjFyUaT9u92PDaBkUP50ChOLVfXO4KpMU1PjTJ0VJ3c1d1WVKw0+Ok8f3/5Vyxb/4xH6t/hiuYH\nZHUmfXX+l5R/+4QlD3Ure2ezvpMKmbqI2Gmq3nlY4qtxxufKKh5g0gT6NuhpmSD/5Q7mZDMjIZGX\n1PdqkZYtZYaevA0vqzNS5w9L+W0BRWdRvFXByC7x9Snrhs5X/P5G4pf958zf/+Yx1reuYT0geNNj\nMomaQ6KndWuwRw8INM+qbkGV6UK6MthzL49sI5bDhyKmNtJ+jN8nAz2x7xDtTfTl8vA6Mmrpq+G1\nluAire4LrZc7kwK0nStQqd6oiBrDoWohgTVUoCe0hTJKnaglNl4oFBgqxEiXpX8+md7j2MjqTiFZ\nsh1zKJ9EvI9UP14hc7YAtyYSS9C6ms7HQojjiQgZHKwP95ZZzpMNVNUwv4XsphAjnIoT08kpCKHe\nxhOUdPLC3tBCufwNQem8oAPwnnNQxq79obNsbBWpTowk9wyMZ29JYJ/F6vES2VOVFzRZ/sPHnPvC\nQ/Qm7Xxkth2/mMbL/bZMmmtU5hEVQ09IXNgl8/o+9nGoaoLvbrjR0JnVtuefpGf3EKmaDD1/LOSB\nvhD3vh0vdFEUKeqqsf/QJE8fv8Dax0/15YavObJ2pJItzV779lmsaWL7CRpK6F7AYAz1ejYNcP23\niQ4q6m5mey/bt2nYm6Pm5jF8qVXy1/3cV832QwzsJbOJ9rs4QlvXM55+7FLRiZTGn+ZrPr1K6qV+\nTX15/LzTto/OC+Pa08QLLVo/FDNYEZOIJ2hrkLW2nf5BA/fk0lrHAKvWn2tYb73m7lKdrxf7/q9u\nsiEx18U9D9kxarLrR/3QF7u+pfbgMLub5sj/eY81Kyu5YS75B4xftsdAVi7vm6v/2RwmBhpe69ZI\n27Pd3NHLmC71H61iU8zsSetFzU1sOaT93mLl5fU0HaHzAfJH6W1oVbi40ZCNHVpryinu/8+Zv//N\n6VZv3eRVURSqRCcOsPKPAjejmJyzuWqQO24jtZhorBB/vIKM4UTbSeWR+Twnnc7WSiGY9mFvxiWz\nBHZ4sVA48HESHQz8QfBBI8HSlgtWvF1IVe8TKqn2pO90jpDp34RRlM2m6RUB7WYICa7p6f2Pk3k9\ng924V0CLb2RNlglZm2JBzKUctwkx2zOwhfjFpNbwkcXcViP0opqIdeS+jZ6UP2kX+FVoi51aSPF9\nZJxFU33Y1xLcT95Cel4PnVtlCzoHE4UY8RQBwZ4vkIabwxj5hbBCDQiLTa/rri+w+iuLVBXXev3J\nM/Rc9EuiaxGT05zUf/8Q8V+nJP8hJbo9i4IYq14OVWCxs4i1852lfKeBiyrYXc36V7Cc6Dd4H1Ey\ndN6N/YL4ZWLFh0X1q4mvCK1HkuvD+Bsp0MCeEZgaB4QwxhphoXw0/b6i9Ng3CLoPW9PPMy09RrVC\nFO1s4q+QuYD+YeE7ii8hlSXE4PvCNeOvk/3hsHDHI6I5Pv/Lbyl5b4OvTfy67iO3Kmr6kLb3DKM1\nxuKI8Yy5fK+aO6aY+rGNducNF7+gg8IJUvckg7Oz+TWmz2B6mazqXpOf22zH6QtFp8T8y3fe57rS\nq/jlbD74S5Z9mdWv4RXin8RvqPpYqOWoezWUKn96PjdvJXcNyWz6k2JnXSM6O0FB0tdmfMlXln2A\naOrfnrz6qzWy/qLQ9c3eFKv+7n+wz0+Ej7QL74+iaPNfOjYWi5UIfI4xQozvyrRIf7bAU5khTNw7\n3hDH/nPbWxexdj4SuoWvfEzgkQ5DRO8Bfrcn8PWikYKBHBH+m6wLmX/7gnTcnhqhrj9HCKj2pvc9\ngTLK3kXmVVjJwEtCUUANsQk4SHwnsY9hNvEiwXepEiZhun7eK+m/76bpPhxNVzSdIhjKHQLyfT+D\nT3mz1cpifCG0jclqEDL8I8naky5NXZo+fyex5WS/HI791T5BxmgyeWOFZFKGwIqoEZJrE0hVhwk/\nMJre+wSObYVgOE4JbcGjTwncqHIhLlKR/n0j+ScLDfgGBAN/5796D7OF5N0y91Rfbt81MyUG+k24\n5yCZ84QF7C6ZT8el1sQM1rxqaPMWumNKl5ygp5fYdeF5Uj3c0cbARl4+wdq6YLhS1USXEq1CHfHW\noMnQ1yPK7sBZYZ9EiyB4ftSfmguKB21ZCwWt3ibBiE4Q+EcVwoI2VvAq5oRx1iGUFM8XKAoTQjub\nZI6wkF0XqGeJI8JiVBb0KKLZDGSSOsjgUFd967PuTF3jJ0dukDGnhsFhZrTskDusm9ptchZ18njM\nqI5aylIO3zuBygNSDR1GL9nD4EtseIpkO30xDm3Qf1GG7ZOniCpq6et21+DlpGLOqNmIGeytCd+g\nfrNuXU9qAcfvTzdUGB3e/80vBlpizyn0V2KU6OBRbu1gb0LW1iTxtf92Jv4f39INSn8qVNRMx7ti\nsdjUf7PP+ZgQRdEkwVL8819x7OexKoqiKcLH/UaXgKsgiqJZwsu/LhaL/eu+Wf9ue+smr2ZeEubK\nlJnseQDZJHKZPzcULNUPD1l+w4WvZxCZRL2op6yA6Az6DqI1kPWjQcGojcAUmu4RJt8J4rNIVWFN\nuqKqk1RSMEgzSO0WjF2JYIgOps+TJdzQeCEOex6DawVjlG5JHZ9Faq1gaNcKRncIHiI5JH38aeG5\n+4/S34RN5I0KAinRIXr2YRnXTOf2l5GkexWJpQxsD9cZmuRETrjH0kGae4jnUnkde/8oJOAKwngU\n5ND5rGCIlpI3ku5sYS3uCS2yVeMdxDamPYOVQeO2Z4D4SHITJvxul5rW8ZZ1vOSb/7CczUXUbSZ7\nut4tOQqnt4q/f6aiylqLL71LbmGnw7VtXv7ePDoW8e6CAN6r82lKhXEtPoWuJAP7KZhKVxGnFFA7\nmbJjsirm6L+iiF/Norie6ur0O6kQ0GZWaLiYNZT+WegjN07p5dSupmIUPZWM7wpOSE9O+I6yS+jb\nStbZ9L9ExVj6SuktZfxC9t3PwneGCEruFA5uYXAy8aNkrQy9ziZmuOsbl5JdzPkl7HmNRSu8cus4\nJjL2pBzVtxea+4F1dmdNUT7+uAtPediasYvVD1aZOOMFnXunaW8ep78m25I/PGPD+sUGfpOUmnhE\n1WnbzP5EwpPfexsFdU5UtGA7x3IFm9Bv66Fi5h9k9jvIT9LVwYkE40+i+SF6x5FsYmCAOSMpLRIb\nnfT1KTcFha///7cF2BdFUQ3EYrG7BIbzv6YsvE1w80RRtCYWixXFYrFhAjL4c8e+TXDZCJ1PnheM\n7XHkp/tl5QmuSPtfusG3LmIdjEIIcmSm4JrWMVAWhDpWxIOosyLKzxEQVJtgXI9iOTOXMPCM4A6W\nEq0jMxeriZ8rIMQ+IUvSSmob9lFwgeBWlgrotNmfGgW6W1gYN6avOURQ/H8DnS4WSP61gkFegHNI\n3SUsnu3CK9kufBP1YZ9kQvBm9gnoan/Yv/uIYHSHpK+fFeygEgEx1TBwNwUz0U/zCMFwP8epszGc\nnFrOHSC7UtBAOAUjmHeSgKRnoTcYaYeE9jadZA0LxxskakqPR3dAmxoCOusaqriwxQMjLtFRmueS\nhscCoL1tNkc2WPaJlQbzc/x44Ud9fvy37Mia6rS2VyVTvVxaQkU+myMFp7ZJ5FcxPhbGo3UsGf2Y\nxq0LmDaEeA5FY+lbbOCCEtZkcHqC6oOCK5+VHs/69Ac0kXnnpsd0LT2D1P6InPk0NNC5jq1VDBSm\n38kAfUdwGv0tYSxyEnzwXPrb2bcRH2J8E2W5TI8F/dyxOSTvoXti+J6O3B/ONbQ/tGPrXMiYcYwa\npJrqPZO4iE3Fp2jaNVTT68O9Fltk95bZOrPz3H7fpzQOO8nkmbtY3+fl/WeJCpP6mnMNlM0y7toK\nW9++T+nnj9H5oLpRo8I3NnFA8GQauDeTTWdRytRrt5E9NYxHcihDFwZaYjy9mI+dzEmRqDiuquwo\nsUf/wqT8P7ZVCaWNb2xH03/7a/b5S8cOi6KoHqIoOi6t0RlF0dPC5KwT0MQP3mgl9ee2t65hrUxx\nOXIigWx/Ctqo76C2JS0sUU7j3UJccLbgzo7EY7x6LzPeMEhXh+qrwQGMTRPzI4FRsFgwimdiA50/\nJWOW4DoOFYzsc4JhGY53CoZ2u8ADrWNgS/oeH0MsSOvFLhAM/e0CXas+fXy+QL86l5LrhPjsPG/G\nCBFrJbaT7PneLHFdGvYZTApIeIDyD6KEznRL7fykgEgHebwJrfQt4rdPpjVcC3A8FDu8uFEw7uOE\nUEkMTcR3EJ0XjInK9DOcKYQ8IgFZVwgA4G5HnxvjnRsftNIKa+bNZveeIA6N5mSRnuI873/PPf64\n+j2yq/nMpp85sessftcYSk9bXtb1XKGB/gMcy04/68P0HsYzfOJ37NzL/sfY9zhHDsv56XqO7Of1\nx7xZATcsfexwIeRTwqEHw3NlXh/GyzB67xUWy1F4KnQWMBi+LeMC71czLuD4a/xhp8BF7sFW7hnO\njh7Wp4hNo7eOxEjKe1HF4DnMncfpZd7x6J1M6mb1PvPnPyzxYl+YujMGOBIZMrRFzkC3RKqP7z9o\nVM0RM0au55d3237rGHKbFf+mRddvi8389To5V/Y4dvNI3V95n+PjduEMecerQzfi7C6yP4jNzBhO\nyQZ+dMC+wydR2YQ8xrVwpJ7uXfQVo17stftpjZS83qi8v4nERf5ztj+XrVqFL/2rf/9p2/9KTDgF\nsVjsPUL1znDB9fxcLBYb+xcv9pZNXl28lT0R+1q58kxeuo+GXqqWM2wEuw/QsYooh3gVyRFBfOPa\nQu7fyeKL2VjLiWwuKmVbB9OLeOAp5p3Jxn/h0hvCfMlEbTMNpYw4EFgDO7JCi2a7yZ9N1xahZeYZ\nRK8JMcZXiE0hahVi3tBE5mkMHhAQ4BRhYk4X3n0jwyZTXxPOZ4BRU5k8kdW/JFUqINJmweCnW6OM\nO5tDrwjIdqJgUNrJKGVUDtVPM+MyOobQ30NBLvt2UZHFgvKwxNZlhxDA9hMsHsUjr4Z7KOyiYxPO\n4cyRvLiXjCryI9pX+lPBQFYck+hvJeMAqXOYH3F0bADnD6/iMytC8cVNG4z4hwrfvPFGH5x+F1EN\nR9vxGsMWkjnbqa8/58QtVS776v9k77yjtKrOtv87T2/zTO+9McMMDDPA0HtRRAFFRbFh7GLURE2i\npoCJGk2iUZMYNVbsDUUpgtI7w8AMTGNmYHqvT+/nfH/sx/h+WSl+6+XN+7lWzlqzFsPs08++9l2u\n+7o/QNaqaFbnsujgLp6Y+GOi9jg411qA12aCNjCvH8T1pzhhnPqABAXaJOhoheez4DnE2rsbqHwL\nAlNgcjKEzFA/CvJZsLigzwXJVug5E76v/vAz1SIMm4bwexoHBjdctRROSFAjCZZJvB7SraJt9pt/\nQCQXCxCLrBbWXAqHG0GyQnksvHMQ7psHm3ogJhLKTSLsLgEtbTA1E7YNwoo46JRBrxIRpkNOuM8i\n1uphYL8j/B3FiPeOmdRfnaPrFwOglMKqcdDRBIf9wCgsnif0haMIr4Nu4j9uZeDRIlAF4dNPIWYB\nlEUR/3oPjq8i8f7RAhVHQZ52HpJX7m852vT32l9PA9YrirIk/PuDiO6sT/6XMS8AuxVFeT/8ewPC\nzc/+R/tKklQPzFMUpU+SpKTw/mMlSXoeOKgoytvhfV4BtimK8tE/vMfvLLBeFhDryaZaBGk5Rqjn\nl88UWNP2Z4S12Q9kgdQpqqOIQFiAByHjEqHtSZgEb3CBtxAh35eCcLlzEBNMRliHaSKWG/gMmCRa\nkMjTQPsK7Z8w7wAAIABJREFUKOkQTATVSdCuAvMGIU2nXQaqt8CXhwDYXkADhjTwNoJ6Feg3gH4W\nOGwQTEJY2TuAZCHa7f8UYaK3AjWguxj8HyMWUTvCurbD2rnw9mmwuRDhhmK+CVn0Itz7jYhvzA7W\n6aK3lq0FEvJFmxpmImb2PoSl70EwF5KBWIibDvJxGJFEK2hzAvirw0IylyIqwULAVvQnryXpeC9x\nF3RjwMnBzFaERm4dvLQYHjZCDjz80oM8fuxXPDr7Xp57/37611sAI5TVwJpx8LMmcB4DloEpGtxd\n/LXtDnshvQi6I8ByBmwrEIkmc/hdzgW9E5VRi+y3kxDdTf/oBHC9jTrNT8ieh6SzoQzawDBDgKLb\nI+5DnwyhacAuNPEQVLUQr0rCQxNufxSyfQV4DiP4a8kIbrMM16+AdzrB2iDCVlH90GEGaRGMHYWV\niVx29UY++e1KeLuKkmNBOr6fw0h1AgW7TnOmJZfnWn5IzTWFLPZv5srbv8L8YDeu2jh4xwXZQ4Ja\nZ04DScOth5+lWppObUUBLiWSkklVnMoV4jvqdBc4Bgkp7aAshTwfnDgKU8tAZ4TR46KAI2kCqo7N\nyLawqI9pHOQbiTe7cBZYmL9+M0fmDzJ87vvnAVht33J05N8DVnX4g1yIsPGPAasVRan/L2OWAncp\ninJxGIifURRl2j/bV5KkJ4HhMMg+CEQpivKgJEn3AKWKotwkSZI5vM9ViqLU8A+2/+n213rE7NSF\nfzYpivKwJEnrEPym/vDQhxVF+SK8z0OI5hhB/mn7680gZQKOcIzPAqpskB3hUZUImpIL6ASVGqQS\nUFeAX4cAmCBi5ewT7rUyiFi+x/CNIpUTkR3ugOjLYGQ7IqY5AiwFkw7cOri1F7wyvLkfLl8NHz8G\ndz4Ef/5CFBSsmAwvHka8ywVADViHITRfgPESvgnd/vJLRPJLRlg85xBg5+Cvkj8FY+BMEyKeq0OA\nX4a4FzSI2Ohw+FrPINz1fQjr6dPw/XeFf9YgOsCqgAFQfQ/kOkT4YhQBkmXib0wFVSMsWgQ7uyC0\nCcbcINqEN32OcLNXIxaFWETSqDv8LDshdpFo1EgUGIrB2yGuXV0Q1sw1hyle6cBnIC0JC9VEI8Ii\nFoTLeDFiQR1CLB5aiJ8UVgarFL+TC2yH5Hgw6Jh+h43DH93AJ1uXcN/pP9CyYBRjdwaenyaiSqlB\nfjwEL05gjPtdGn+oAY0L1twIAwrUw7h7T3Jm3ljWFf2Uj/yXU3N3KsGXtoW/l1D4W9EBOfD7Arjv\nBaRb7kBlVtAf/QL3YVl0fZVngNQuSpRDwfA7jUUskGWwfLzoPMsW8Y0rY0DthFAAQQ2bjPBMqxCt\n0ofBVRN+ZuFuwBjEd1CWjVbVwry50Xy5uRjmZ8AHB8Jtv0+ClARlVgwvZ+FdFIn68gChvzwHRMCY\nMhiCd1oe5+G639A6zclkn43j+vnnAVh7//VAAJL+Gd3qWb6hTD0hSdLtCOvzpfCYPyJmlgv4nqIo\nJ/7RvuH/jwE+QDzINgTdajSMY68grAwJeFVRlKf/6T3+T1uskiSZFEVxh1eKg8D9CFa9428vTpKk\nsYjGGOWIgOJXQL7yNxcpSZKCahcsL4NP94MpExaoYLMDsstgIAjOj0CzKtwloBUxId2QlAj2GITL\n7YP+BJjpgr0lMK4eYixw0i1oNMZkiOsF2wgkGKHFAlmDEByCk8nAAdDHicxwRCyoB2FqCLaPINzx\nk4jYnhFhRjtFciQwCiE3MABWLbisYJkKaWeg1gxxNhguBfkw4ICMCEibD5XVgpfpPYXw4TIQ79kD\n2ggIdCA8nS6E9SQDzVCSCaeGYVKJ6KI6OhHiGoUivtYOBYVg7IWOQaFTkBEPTSPQdxjBz/UiADYL\nsr3QkQGrBmFLEJxBCHmAXJEv4yj47OFrG4A5JVDYS3xSNwN/SsDyfTXOlhlQqSLyojpsHW6wJ8M+\nn+hEoHdDnB3GuKG/B0P2RJTIc/jecEFIDWUasCZgyXeRMtpPd9QAJqWA/i/SkXIC6LNqkex6PEEV\nxiQbno/HC3GejDwi4ntwDCfDhaBx+whW9YCUJT4qxwCUx2OaN0IgSk/gigpRgRafDjPTBG7qATMU\n31VJUns/7XImnVv0eD7thwkpYBskY0oLGcFBpFvz2H9rKTnPDNOvxJH08x00x14Nhjp4px1GslHN\nlVl8QzPbt5TCaTsX3dxAlbmcpUu3sOHkDUT0uBjea0BKbic9upL2t6fD/GE06iCy3Yqs8qCLT8Hf\nOwzthXC2GtQekYSS7LDYQ15/KhE3D1N/TI8SrcbXOR5aIa98B2fthagLk7BsamRUmw+JISKneLB9\nEgFfHYLpucRn69Bc42XMwlr2/mwpJWWVnLpi8nkA1o5/PRCA9O+kCMu/LRQgSZIJQV+4ESHQ5lQU\n5am/GfN/xUokSdqGiIcc/ZtxiiD19wO5sGYJbPHA4EbQFAg5u4AFYQVkI16iGhJnwIgL/JUIbbfZ\nCGtuCZQ7ocMCjwWg2ghfRkLaEHz5KcI6TQDVFaAoMHMQDnwMmuUQPwrD8WFOK2AxI1n7UIYC4CuE\nkEYIJLtbADOEVCJJ4F6OztKPv6sGtNEQbIeosdBdCz+aA281QE8ofA82BIH9FZH00ndC1jRoaAH1\nacHNlecgEmYzEZzcSeKesfNNYu0zIB3MC8A1wjcS+F7+mjlXGUH2IbibXxcxnEGEUEKIxFwTgpny\nNqAVurG+IfC3iTFSnBAvCc2C0kY42Q+/mgU/P80CW4ga33j612cQPdLHSHsUHKzjm+SdHS6fgPYe\nFYHbDUTePojt/Wjw6GDhMGxX4PUoceoYLcUXb6Z3oJyhu0zwvBletLE4ZxcdD+fQ8FkJ6oIAoVcN\n4lYdbhh1gR0sgR6c68cREbLj2BSF0buJ2OWl+Dbq0V4YoNuVhrRNwfJrO/I6Fa4YK1RUI2m16KyV\n+Fz5aJaNJyLehe+AicdfuJ918i8pVVdRerial+bezIy6A4zvbeDY3MmckibwYOAJfvbl7+DhV6En\nOvw8VRiq5+CdcAJmzMa82IfrdJQQyl43Cj4V1BnQ/SqE/2MVVKhhuQY8QTSPyahHQvhWNMFIL2Ih\nzw6/+/0wZgm094H2GNe+rvD2T+eAy4VEO8qDF5Ewq5/+qzKEIzTTDssCaN+1EJhrg5+MAPXo35qC\n/hKJJQO7+eDma6B5A3SvOQ/A2vItR2f/B1j/7gkEIbcS4Ze9oCjKj8OhgBsRn/tx4P5whcMfgMOK\norwT3vdlYKuiKBv/5pjhGM0mYAzEVMGwFVGV9BGYLwPXKQSVajkYfeD/UhQNZM6Gtg8QAOEAzSQI\nFiOsvMMI11IF2jgIfP3xGxEAFRe+3MlABRSNBWcmzC9mwpxjVG8oFWGGH8jwuErUmD8LY588Rf2R\nXPjRRjAWwr3l8BWo/+zDohslKaYXWQ1Nl06AIyHQPw+Gi8IdZncgCkH2AEXCAkxKhVoFBo9DXwei\nuOQoIiywCPHRWsA6VcggcjR8DDPCpf8MsSiFW5P8lW/bKMpvzfNBtgjBGHL4JiTxITANpCiYEANV\n74JeD6+sgtePwFdVCDA2QHIUTFwGW94S181+wIVq0o+RJY0IIceehj37QMlAeBWlCIC/EMYdAFci\ndAxB0Adrr4bnN4DmerjKLES2VWo43gq3ZMHL74DJIHi9eeOhcKqohcgAzaN+lD9IxF3SS58lHcvC\nQYo0dajjgkxVHaHbnsKFW/Zy/8SnKJcOotbIfHH/cqIe7iMtoxuPVcu6wC/ZyUKu1b3F48aH2XPT\nUjJu2cfgE2MJTLcSeF4Dji9EEu6Ctahv8ZEe2E23MpPUye20/nosSrUKKv3gfRVCMxAhmz4wRQiO\nsGYfBGfDjBJBODlVDZ3HRDJQY4TgUvGc9LUQVMPNa4XH/9x+hPd6EvFgbeH3PAx5F8BcCXVXkJDj\nS2jSoJvkw78tCoznIDQTLpRQPxxJaJ2BCY/XUX1FJrR2gCYIxfX8tuI4Z+VcXsi+EoqSYafmPABr\n47ccPeY/wPpPTyRJVgRK/ARhLg4qiqJIkvQokKQoyi3/b8B6JyJG2oUIfcxCuMdehBvq568N8IxJ\n4NkMxIJ1Pthb+L9jUSoEcKoRrvvXLrUHAc5R4TN3ISa/h79K8pnTwBwF3jFQ6Ib+GBKnHadvbzLG\ni7vwfDYF3HaiVsDo2+dEYUKEAq2F6C5rJaQOYIwpxHm6C1yZ0FIFjmG+aat9DPSXg28bkALmaCiL\nhbY+6BgGSSVKOukRfyfcGeCv1zsOcINmFgSfCd/XQgSnMRGxcHyd3ApXomnGh6lnTQj/NyH8nA4i\nYrVHobgYaseAdArdKi3+6mJo+EyM1caAbqLI51gSYDgEE7XwaQ3EZIG3HtSSKLjI7oH+DJjihb09\nIhomOyFvBpx8BeRCKJsBrQdhpAnROmC/eDaJVuj7EpImQ28DIlY5HbQ1kL0C0mqgx4bWJYOnhMB4\nDVLkaRQ0JKR46K/LZ0FhA7uaI9DEmQiGulkcv50a16X0jMYzNvEkmRotR8knjj6CZKMyBEgq6qfW\nVcrodhka2kWoQZ4Afe+DcQa4R2D9fHi7m6L7B+mypuL8WQ8hcsDUB1EhkP0kt3cRMJgYVPJQXTOI\nXDAG/YfNLLvjJJ84r2Blz9N8eOoW0UBxKAr2joL5LGQZRZ+yu2cLBsFHxyFRB1eboEED7X7wZMPZ\nnbBkNjQoMNWCpbkZymtx/iUK5GiYK6O/JQ/fn3oozDtAQ8f3kBJ7UA4cgZ44UJlRjbeTNK8d23AV\nmf0nqGudA/W/Og/AWvctRxf9B1j/5ckk6eeA+7+GACRJygQ+VxSl5O+EAr4A1v39UMA7CCvsFOTf\nAY426H0fDLfDmkh48U8IcHIhrK4koA1iLxN6obm5MNwEXUdE5jc+D3KzYe/nMHU2HJNhtRFqZIgJ\nQMWnkHMjnN6HSJ5kIizETEQNeT1CZMUkWkazHKF6lY2Y8IH/ch1BhP/Vh0h8nENYxbWI5FAWSGoI\nbUW48VZE2PkUAgBnIhJyKpBrgRTIdEJbjzi+Lh/8e8G8Glx7w+f9miHQgUgkRYnnwVhEknMISID0\ny8FzAAY1CFBtQlhAS0DvBU0auHoRVnBO+PpG+GahKgV1P4RaxL8vHSvWOA9wzg4PWWG3Aju+RLpl\nPsoCreC19tQI61uXRNmvfdRMziVwn5n03/bS8Zsc8dgqw5frROTmPvfAg0b4A3CvjLXYhv3JaKIu\nGkQZJ2F7KFZEMS4fgGcUERunFrHYREG+Ak394sAlmTBuAbxzEsZHQH8q+BQI9gmhaIYAs2hz4/MB\n3ZAYA1HT4MxbMOM6eDWEJXGEx9QP8cPaFyh8q5a6hBKR9sgHNKDt9aH2DeJtaBbf5hVzWfbhZj6X\nosntS6Htk3yC7+rFGqbdBEkrkMpkYiMHGKxIFGtgMtACF778GdXWCfRelwlfngL2Qup8SC6A6j6Y\nnQa7KoABdK8m4T+SBy/1AUdJvcfCW4/+mvk3HMU86Qtc6/TwcDG8ngCdH4p3mZWBZlYO8kMWLorf\nypabroCtfwD5nvMArNXfcvSE7ySw/o8WCEiSFCdJUmT430ZEJqQqzBH7eluJCA6C8FGvliRJJ0lS\nNiID9A+KkxsRrk9IHGFkjxgetArFOsYhasStCCvrHGSthklRkFIrcC5dJ/bPWQBqowAAxsBlbqFz\nmmIAnwkyraC5TnhXDCDA5ARiskXyDXkyChQJQdb/CnGSc+FryEPUk+9BgFI6Apj2IizLWEQcUwOy\nFkKfIcC3AxaoIVWD+BgV4E3AINSuVOUgnYTOOQgQPwn+E+K6XMOIzPEnYF0JE7MRC80eBB9TAW0u\naN0QNxFIhAIfDI+H8mSEVRGJyCOawXcQLvABWRC9HDIyxPUSj+BQngEOQ+jrWGwd+ikuYRivBRIs\n8Iks2kzfvBjFrxG3WA6sGAtpiyC3lLhLhihOaYYHjfRtThAgmilumYUIkO0CjN1/fWTUSDg3WiFF\nxhaMwNEU9jKygJZYiNiLKM7IQVj2W+H6ZNAEIMIKfTMFkSAiFVLtsNAEqWbhReSXgW4uSPqw57BP\nHPu6crEuzioj9sU+VG6FK3o/JtI8yuopr+DP0YlP9FLEuhmCwIV6vP59gBsyZ8I4iYfP/QY4xxpe\nYu33nsH44TC8oMCaJegfdEGCguoHIXGMGxGzKAH6M2IxxTjEZ8QAcINollisAUOSWBcnZQNjURSQ\nZoQLZK6awxvXPM1FWX+GueCRrSBrKVhxRmjSzJwl5pfBStASi6KH0zHjxPkxcH42z7f8+W5u/9Na\nAcnAG5IkSQgQf1NRlJ2SJG2QJKkUEbxrRYgkoChKnSRJHyBmdABY+7eMgL9uUgKMvxLqTPBkFejK\ngX1Q1Ar2bISVNYgA1zNAKrRuAt988BbDpRJ8UguEoP4pUF0CbQcBOzxTKk7/gRuK9dDbKHCzIgbI\nB82AIPl7mxHm0wQEkJYheIxnELM0DqE1YESEFFL5JvxwAOGye4E80J8W7AK6ELPxQoSgzhQ42w1d\nuxCW5hAikdUHRIJ8BNBA6C3EDN4LmggIhrmIlIvz2XdC73jEx7ocsuOhpRtiNkLmLdB5DjgBbics\ndEKUDBXJiBt3hq81EVo8YNwJI+kwYkJY39WgWgJKP1AEyn7EbG8j7qIB5PkDGLM9tA7nYrC5ccdE\nQl8b4380zOnmiZAAaZ52OhOyyby7id2/XMiEh7bDx8Moi4zi0Va1w7wM+Gk/FMeIuOvJM7AlB3rq\nwFWM/KUC+WqU3XohXdCMCCXbW4ES0CWDf3P4fjxQ5RSMBmk6hEYE0+OKRNiTCKMO0PfC6iRoOwt+\nLbTFgfmH8GNJvKKe8OtsaWXo8WLog/czruX1VbeSM7mBrlAGyCDVymimthOwWaAlDjIXQdCD4WYt\ncqGK6Vsr4VoZi2UtiUfqeW7ivZy7IYu2q7PR+b28ob4DU4IDCiGmpIfhimRIBI/XQt9AMhHFQzim\nLAQL5E2vp8WcizxWIxr/2izAMQxxU3A8awTpUZj5AxbdtJekjR0sev8BPravxEMnZ95fCQNOwYph\nBbRHo7EGCR0ykGQfxPV8N8NDs1B2/eMJ/+2377DY6rfYvrsFAqrjkBAJvV9BdLJoVeL0Ca7fxDFw\naCQMMDUI66kEqAwTye2gLxB8TGc3IrZ6DlQTRevf1HxQt0OiHyocgpKjBBHZECNYDWDvguQFojbe\n2QcTQ3AsHpbIGKLOohtdgL0ZIQbt7ARdLviDoB6CLA/oc8HSDdsNkOqFkRB4qkDpg8hSUAUEeFGP\nMMsGgSiwxIF3ECKNMNQt3NbTGQhVKi0CcMchXH4PYu26FGHtDiFMuCxEEs4NEZcCO8ERlsGjFQyn\nwWtEAHkfIu9oF8cvAU51iN+1y0Aegfgc8H8A9tnCY1D1iJ9sP9w4HZ53YH3Ci6MiBsWRLCau+yzq\ne+KJSpQZet0B+kw4K0PQgWWqj4BhEEWXi6xWEzRaUPf7CI3qRdThGPCQQvS+9xjJu4qkMzvpPVsO\niQEhqJ0RgIIY8Qj0TRhbzSRE9aDyODDro2geHcB7JgfL9B6cjhDJlkaGIq7Bmm9n8KCCekYcoac9\nkFeDKTYKt0dFZMwAthYJ+uJhQaFgn+V5YasWok/AYB4EfcRfeo4BZwbFq/vor4lkuN2KKUGL4ykt\nxA5CUwpojoBJgqUxrJ+8jpftd9H54iReuP5Knkq/i0hrFGdkFVEqLx1vj4csE1TYwWFFf3czvleS\nIGBHujMfOjtR9keIRW5lF7yjwLxU+NQA1wDHGqHlHJm/z6PtjTySop6ld/cCuMHKmLIqfI2FtK13\nia4V/gjQuaHhc+hLEMbLRcWY3x/E7HTT/0Ym/LYChqach1DA7m85+r/Hmf3f2r67wKoJgHwIOIKk\nX4viaQCpCqQwX1XuA9WDIFcjfHwF+AImToMTflB3iDimrAHJI5Ik5IGUAaoqUDkgei4MviToQ6F6\noSOqUSFpNqF4nSCNgSlLYWUQTklQUwv2ElHYlSTBywh6ckEIXvHC0DGYqoPQdGhQCUN3qgKGkAj9\n7WwV0nfZI9BjAvtBUDeAPAsRw2wG4yXg0sE1GnjnBYSxv0mIZsgTEfX8k4ETAvSkS0C9GZQRkMtA\nMohKMVUfKM2g+AQHNpgsurkqQVBKQB4EFoDZCZ7doDGDXw/qBSC/BMpdwDMQuRzyCsFYBccmCMtZ\nLgDjVHhCgns/FM9Pswj874H+KiiVYEghdfp2uk5eADUbEEUEkxEAPglyTsPUZfDuo7DmZ0x+ej/H\nC2bBNBl2aKBgK/F3lDFwdyRLq7ezddXF0KAG3gFVMdw3ERJB9UqI6JuGmbx2DzlSK5ICr224DaUI\n5AEtYy+uZuBEIpYUB41PlmBcacdzKAIOyHC7GrNnBFdXFJPWHqTsdBUvu9fCZgnTmBHc35fgSjMR\nlzpwPGaGuibQJIMxHh72M65gC7X2i1DQwG/UcIECz3ydEGxFmLxmxALWDPgg7m6wvQeBovA7H0S4\n+TnhcfWIBdQM8TeA7TUIGkBuAb6HWHkUoAbuuJLEc+8R/Gg2Q9enCoH26zRIG3pRdtsQFXi3c+U9\nP+LD56agN19GYEcc8p9USJ+8iYpRdNElsKOcrOIG6idliyRam/o8AOuX33L04v8A679rkyRJkV4O\nMrNsNyHJw6/TnuTp2nuobS0idWw353Q5pI42cqx/AXg6UToT0aX7CfTZ+MklG/jw2FLGlHWTpW/h\nyOlZrB37BxpshWxUX8Y01REORU9nceSXONojSQr28EH0VRSMNDDHuY8UdT8lgdM0qqx8briaWGzY\nPS62965kxJbChGWNeBqsXBCzhQiXk7e01yJXenD7dKj6YhkKRbJu6QM0JZayo+kivhfzF54evoFQ\nhRFTNozNaWam9ivOWYvReIJo4oOc7J2E1TBKW0UejnFu8kNtdB8tIrKslpHmLMwFIQrqK9hjmwMp\nsUQ0OQnE6kkpPYxZimZR5g6KPHUMO2OQtSoeOvY0z+XfzeM1t2CPj8UyBwx7/HjsZm6c9xdO+8dT\n5DzBK96LkRsjcUUmIGfGQG8bjyU8zk+rX4ANQ+Td1UKXyoRR7SUxVcE7zsz1vW/yu84HucH4Kq8f\nXYX3lOgzZnp0FPeKCq7f3MExaTKyXybqcD/tK8fSt0cNb8eDWgujneA1obrODLEa5IAHMrSiJ9Yh\nGR6xgz+VtORWIpOGqfu8jEsvf59PdlwFCSqoHSFmjo1UyxCnhyYxofQo7Y4sRtb4YGWkyNk97gDF\nT/mmHuqVQnxDNgKfxwitiD+PYnjWg/d5MF5rwqf4GZfcxqnD5bClB6J1cFgriksmRrBw9ZfsPLws\njHmjJC/uZrApm2mT32f/8Rthn0sIA02IgVwv5HtgvRf8DtEIs+951FdcQejtnRAxDx6Ng3X9cLMC\nuyShZRERFBGZ1dGAAXIl2O5GPd2IakgmYAXuOwW4IS8L9PFg68f0qAn3C7FwrAPrp2rsHwHj02Bj\nO6qb1BTGN1NXOQljCmiOOJgW2MDa1fvonxLHC4Y7WWLcxgOnn6KqpIQeTTLXf/ERSq0ED6jOA7Bu\n/Zajl34ngfU7q8eaFmqjRj8BU7OXicPVzFh4gJZAJo7DUcwZt4d33roFXaSbqC4TXmcQz4iFmBUB\ntucupksq5OzuKeTOrMeVYOH2Xa/x2D33IXerWJbyKd52EyQo9HcksS9lHqOjUVQmlzM7cw+HmIxP\nkTjMNEKSkWpHLkm9g6xatINOKQ2j4mEgLQ6H2sxs9mCweWmfmYqDCPBCe10uuyZejAcjyUldtMen\ns9RxnIsv3EJGqJ3Xhm7mq+RLsBpGqe0oI99UT2HgDLG+IdZft46njv+E6xe+inuBCc/2KPSrXLws\n3Urt0GxU3SC/KcEvYfzM41S9O5PygsO4dWbqk4t5t+Ea0u0dUAcbJ61ANSWWUG0cmenHqFDPRb09\nwB9n3MvKpA/Z6F6N7SEt6Gxo4szIlgCR+xtYN/s5dCf9/ObEwxysmUtibCrFSVWcqR+Lr8/Nr5Mf\nwmjz83nbCi5/aAtvj7kARvpwz5fBmM7pmGiagmPQGAI0dZWiPuiGqpAojOjygbcFlixDTjUQuXgQ\n2w/iiMvrZbAlSRR3mbVYi3oYborHnWgm7ro+rsp5lx31l5B2oI1Gw1g0QS/tnVkQoeBxmLH/PgZ1\ntoR5hRMiAzjKklH+rKZFZWRa2UGOt01lNDKCiNwhdAv9DPfEw/1arKpu+mpTiLykirSRVjoNWeSu\nqCcrppnDv5+L+7SBneZL4BIZdWOA0CNR9LRFgaSwf+oNMNyPea4BpdSI+z0dlpAHZ2MijNbDwBZI\n7AZXIqGINAhmwSUpcEYLpmxRWNnbADkhcGeAVYfq6BlkV4HIEwaspK+po/O9HHilA2HdBqFbBWN0\n0DOE+6ssIZ5zQSmeSi+MGhl7wSkaNscgV6RRRyKEvPh0CtbZcOfNe6iKjufq3v0cd0zlNuUvPDLx\n5zixUHlmCspORIeH87L9J8b6/90mSZIiTQox8fgBWr/M5xfl67j39ZfInlyNf5yFvj+nIe2Q0Bl9\nuOojBLddDUhQOvU4VecmQz6oh4MoHTLKxWqUbgXiNKAFU9wICem9KDYVJtlNv5SM22ckJmmAQm0D\nmpYQ230rBJfBHoKxKvD6SMk9hypJy1RHBW6jgW2PL4a1ejQeN8E+CyWFJ2h2ZeMZUaOK0hOSwRQK\n4N2k58Z7X6B/II3NLVewKGErzep8WnflwzIf/MEAN8lozC6C6yNIvLYbVZVMwU2n2VO1hKLCk2j/\nKNM9qmdUm4V2tQol2Yf+JXCsMWCpcTPuqpNUVM5GbQuhFPvxVkWLAoZ+hE56A8LbbATTj2wk6bpw\nPB6L12/AoYoU3bevCiK3aLBIdpzLzMy+bCf7ty+GGAVNm4ugxwRGCUmvoFhV0CXBD7yCiL60CD44\nQdGRztpoAAAboElEQVRHCnXNBfCkAqnN6G/Lx7chAMebQD0BvMeB8YJEkW+BbR1wbwa8GgLvPrh/\nOuw3wBgZooJg0xG98hwjP88VXvKcIDTKME0DAZmUOefo3pgHx1+C+TeASwa/Sah9/XA2fGwGtVdU\nxy1XQ6UC3RqINECcC4YMUCTB5z6oOQHGcogKQPtWwAivXCRkFt/Wwt4OyHXBtBzh2Z/0wSIJWlVQ\noIYdp2BpKWyWwVkHEQNgtwJ6EdPXzQY6waOBuHHgPClixqY94L4CNNVCxQzgzAa4dI14ZxVDUNEN\nzmFQJYNGD4E98ONr4MlnAC+suRX6LFATgsEgeE9DbjnMscFnzWgXTKD6/inUTc3l7gW/o+LuhZwr\nzuLd2CvZbZhPw0dlaF1eAkEf3Bt1HizWj7/l6Mu/kxbrdxZYVcuDlP2mgtZABkOvpcD2z0FOQHXX\nREzXjhD6wIwpxcXQvgSRf/EiSk5bbWCPhEmg7fMRiNOjGvIjW33giQB3SEzOrWcgv+QbumYbgs3U\nG4KSfjjwGfRliRYmiSrod4HSBfPuhkMnIJgP2tchdRkM94qKHMsq6DoDDIOlFNw9oM4ULVlmZEDU\neAioxUR+9RRoKmDszSIH5UfUQJyDuNJ+pG6ZAVkH7+0G0yCpP1xK9Ip+zv6kgIc++iW/uPg3pL3Q\nRmZWE9UvTKL96izK/JWk5LZx4tfTYUoQ3zqrYB51I/JTboTLuVTBZHGR+kEn9umR9I0mgwk0Az6C\nPXoKXz9BQ0IA/U+K8XWp4Q03ix74NV998VvIklBfFiBECO7cB9FjYeQcGJ1h8v8E8L0HTICCKCyL\nx+B846BQ19ftB9vXmrl6GDsNAv1IpKH0fAbyPAh0gboSlNVC8SvRB30eyL8aek+D3w+BXtCng0cB\nQy94R8XNqa8H1WlQJYiqLU81Qht3DMivI6rW6hGrrkbE1VmMKEgIq4chAVVgmCTASVMkuK5qK4QK\nEbS57eEHORehwJWFoLhlgRREvNBsSIwTjBMqQRcJfhuoZZBTRDWaNgi6Roi+ATpPQ5EPWnogphcG\n00RS1WQE91GI8MNAsUjY6pLBpxUfbSgAfAaG2SLBa6/km/LkeQih/HJIaGVSQyGLX9jDioJPuOOF\nF0l7t5Utr18uQrYNYNqzD/fZfCDlPADrW99y9HX/AdZ/1yZJkqL98RGSNDF0bEll9ppDnLLloOzt\nRLrIiaM1GlkdhFPR0GJEvTSduJR2+g93ohjmQW0L5HdBsAzSW0BxogsE8fsL0SadQbLrsczJZPiL\nOiz5VoKhLqKDOvyaHDS6VpJ97VR9Wg5x49FnuPG5jHChQrrUhOTR0JeWhMYj4+o0wI4OcOYgrQwg\nbTyG3JIJ09IEjXU3mO9x4PHqWRC3C1PQycBoAof7p0JjK2NLhqkfLYJmH0QNgysXVREYonxI/Qr+\n0U4CBwvAI4F1BNwyGLqJXRZgyJYCe3uhNAm0Bu4cs4G9ulLq+mZDexAS6zD0W/EPtkNZKqazFpzJ\n3WAfB+oOcrP2cLYyH7rmQn61UJzq9aHNzEA6cpTUq6IoHNvNtl8lQddEDJc6kVub0cwGX78ZU0oc\njq3R0LwHvDqQ80EjE7nCj83XCfunYphZidfrg1NGQZkiFuiFCWkwHAFFkXDWCNFDcKIB5FwoiYQM\nEzTGgtIO0QMwNAu0Z0HngM5YcCeArgmWpcCADnbqIPQVlBfDiQrIXQYtlWBJh4QsGKoCRScYHI5O\nUS3m7Ia8EmhvhJLxMDMImzQwWA/5xQJ/g13i374mOJcMvAJFs0Gjhvog6APgSYJQJQJoYyA+GdzN\n4OpCJOvcMCYdGpthghmisqEqAMnZQrPX64XUEagZBFcAVmXBtmRQn4HSBYJN0nkShgoQYFmLMJfL\nocgO9RmQNAQpkVB5Gi5YJirc8pyQ6oNKD0R1E+Uspf7a6Wx+ahGJZ4Z4N3EVrb+3U3CbmQ/1VxD4\nnR7/mWOMeTeSRuPE8wCsr33L0d/7D7D+uzZJkhQSPkKVuhS5fT/Jfyiipz0N/bZqAm3jkJYphF7r\nAd1JCIwBrwkSKkGdB5cWw0e7YPYiqNwNnVpIbEYyXoD68jgM8V6cHWaiMkaxv2NEzlCjbawjwHis\nP3ZifymKhKxe+j87izq9GEu8F9+QCp+vDcUJ1p/n4dhoRZFV0LUTyZyNMjIKSicoGhhMQ5M5hC6j\nGHeoHyqHgHng7Qd/t7DorunBfC4CV//ncDYaJuahvyoW3+N1kD0BTh2G2LHgcoLJBFoHkjuI4q8T\nFFl5FUhnYUAvusumNIF7JYboWrytlWDIgFA2BE5DhBNM+egj9+NrvB71PTpCB6qRLspGWdcLeo9g\nSOiN4NWgSgHZVQL2wzB1AaqmelSqBoKhEJJLAvNlKP53ICIdfPGolxYhzVAIdahRPj9IztOJaLtl\nun+XiO8GE/7NGjQTnAT3W5G6zqGNPY4/fwpkZGNtHcWrMhB94QjaXQE69yfBZXrSZrQROKjFnmRF\nOSaReks33TtTULXJGEvcGE1OhlPjuXX5n9hcsxzHS9H0xyZhPVSBMzQR2f42ikNN5C0XE3NkhMHU\nOEJNfWhj4rEjY0hswHPIBFPKMLmcpDobOJubiqqqjWDHMBgT0emqMakXEnoyEv1jPuRIFYpdIhit\nIajS4JlhIG5bM4NdesACWVZ0aoVgUIt0+itCAQumwmY0waUE8kbxHh0kwZjF8NhYEsb0omyRGI1V\ncLe1wjWzMZpcBL7SE5RU6O7xo349hC7Kjy0QTaK9Gl+/FVvXCNoUK/5JsWh3aggst6Le+C6hptlE\nXm3GbguinNsIrnikWaXQkoVmrh+pG1KPb+Cx3dvYZ5lDbPMwr3m+x2TjCXp+0cVFv+thYtYJbvry\nbdIPd1G9ruw8AOtfvuXoW/8DrP+uTZIkhYjPkCw6FHsM6x0f8lTfj/DsjUT6mYJqfAjfVh8Y9BD4\nAHwesM6EtBK4IwjPaOBmRFHUWUTcf4OMamcI7YVBfL/Vs+TNT9n+7gqU9WrU0QFCC7QYFrjxNplY\ncPtm9j1xIUpBiIiJo8Rn9dL8UQkJU7uw/SWGdff8jIcanhZeYEEIvlKTuvYsetnPuXuLiHyyH2Wb\nFv1SF6O9UUiqEOWJFRx8f5GoJWiGpDVt9P4gU8T4l4JG5ye4WwdGLzgNokLGjtBOCYH0oA8lRoaR\n98Djg/jboKcDZqVBlAo8AbSBdgIGFRwdgOumQvMoHO+AB8aj2esnuEtB9aYa+UUNDPdAVRRojoKU\nB5qTEHQglV+Fck7GvNeB6+4YpLQQlieGcNzWjpQ4EcUJVJ+COBP8Jh+12of0ksTcP25nZ7aJNzpe\nZESJ4omenzLwXDLZDzVybslYZIsGMmXU/hChHDWay4IYzW48fzRhinVT/sABdr56CcbVI6REdTJf\ntZs0pYPH23/JmpSXeH3TrZgXj5LoG6C4rp6oeYMkyz1UUE6kapRZo4eI0Nr5KnAhOaqzvNd7LYEI\nHUGDzGXRn1DdWc7atN+z3z+HEuU0d7S/ztOR3+fLmAVYVXaGlFhMITfHneXEWofI1LSQN3iOKksp\nNoOVxt0lSMUeDPtDJFzWhS0QSdbBDlJnt5MjneUj+5W0nhxLyKdG+kBBPg66JwOoPwkR1KsJ7Ksm\n8rMMnA/Fk/9sDb3tGcR6+jn7cCGUKuhW+Qi+rKXktaNEqUc59OoCNPNduE/GkGJqY+RxK55GC+qZ\nEqFkLWp9AO2dXuI+HWL16g1s01+M22DkRuMrPHHbOgy/tzPcnsLMxN3YBmO4Le15bEYr5VRw5U8+\nx3E2krSftHDxhE/YM8bBqe2PcnpMPn3eJC627j4PwPr8txy99jsJrOr169f/b1/D//P2yCOPrEcz\nF4quBLMD1aJYGgcLyQ81MpifgDJfhdLeDYyAZzykyqCyQGQClEtYOg/jP5sGVgkqHMQ8a0Of5yT0\ngY7kSztQn1HImNLG4P54PLeaUQIShqAL7+YKostNxBhtdLyXhbxLR7Bfx2B9CpaAjZEnQ0T83ktL\ndBYjx+NIVdpxt0YgOzT4NpnQ1/tweKPwbTQRv6aH0Yp4VFsV/IMGOt7NBrtKhLyugHhfL6Mfx4Ht\nOBzbgbxiAuxWoTEFMM8YwN+qhn1a8tz1DG+Oh7TtULMPrLMFX9FrBX2XcKllBxzTErvAj7tfC65o\nGG+BhjpIL4UhSBrfjeNQN8WxPfRPSgLbLjibBaE6SNOCaQ6427E8mYT/cBeBN/pEwqc1Bn+dGQ4F\n4Kwd6k+Bdxw4eqAwhaJQDbbpUQSTVMjJ+STZ+qjLKKJ+bwmld1Sg26XQVZApisRa96JbmIS0OEhZ\n6TGiLYOM2mJRXRagcft4NDV+8mc1oXKpMNV4qB8ajzHKQ6m3mqOh6eTFN1F7fBLRs/tQa0JMkKrI\n62vh+a9+yLAvhh2GJRzbPwPLhFFihkcYl1XFcuNnnPjUTXBKFlJA4qBqJpIKKrdP50DKdMZ56uix\nJHEJW6g9XkphUi2tn+cjtWnpCqTTlxTH9MARvH0Gri54F2+aEbsUQaqni2Pd0yl0tWBOsdM/kkpB\ndg3x47oIjtXi/HAfinMs6ctaWXLFVk6fXYZlnIvFt29hlfcDHLlGiJEwXOXClhhLpHsEeRaUd1fy\npXcJEbEO4iOHKYmswjFqBqMGj2JFTtKgKgihnuzHUBvAlmhlZG8sKws+Qd/v5+OKOCZMcWDWefGN\n6OgdTsWca6fWUsRe90I2Bi5nuDYBQhIzpQOkZ3awcfU6lr79FMq8WDoNqex+5DDr169/5L81f/m6\nYee/+tn23zrX/9b23bVYox4g+Vf30LNDhilpsLMdjraBnEvRx0PUrYuHYCy0NsJqK7xQA8TCwjQ4\n1Q2RUzGmVOEZSAOLFkJdEGGCvX6YGg3RLohIgx0KXDQKuig4+Rjk3CmI8tuOIDJKU8JXtR2R2ChG\nZMtmI8S87Ihy0DEIakIN3/Soz0KYzUUI5psRiILJBXD8oDieZIb4N+HaW+H3FQidglZEAX5P+NhT\nYWI/RI5j/L27OX1lOQT6ID0K/D0wFAS5FzTZkJsK+SE4HQ8tGyF7IqwYA1sCcEEn2FJEIm70Ocj8\nHnzYABOKYbYW3nODNVEki1xHQJJBGYcozzUgsnvHEdoMewA3hQ0X4NSZKdSc4di+mXjjDPifMIDX\nS9qzvUQnDnJ682SWXPEJO+46Qcbz19E6oRDWwfTcvRyumEvikjYMNi9tJwrQ5Tnx/8JC3II+BkmE\nZ2WKD1RT+16ZKIKOhvToc3QXpqAKQKKvh+E0M+5dChzSgVWGzX7wVkHmfJiug403QOqj4M8S4lk7\ngK4WiIqBcTo4HBSaAomd0D0I1y0QCZ1qkH7hRfkoBANmoWfQCvhAvdxP6Asdsy/cxX4WiCLtXjuU\nWHn9qqv56E9n+GmZnodmPsKemy5k032X8MPlT2A7E89zY+9gzecfsHv8LH7a+jj7pIWi2CQC1IV+\nQq/qSFvVQu+eVKLf7WHgxUzGrjnJQ01Pc0PLmxjTnfj7DYQ+0VB421YaLhkDP88TvRTfv4/kD1fS\ns2sWRCqk3tZC7NttnHp9Jpp3AqgrFHwVRnj3z2C9gaLDTTyTcg87Wy/gzCMSm1sfJLhHfx4s1qf+\n9UAA7v9OWqzfXWDlalA9LVT2VReD/BpQClI1GK8A9z5EbX4tgr0dC4yCKkW0YNH0I5jVXys0yYiq\nlX2gniwEqXXdIK0C3wGgUsQtldmg8YlKJSLAXACuAfhhCDYEYegQjF0E9ZEwPxp2bwPa4MIbYPsb\n4XNYEMC7BfQZMHcN7AvBvYqgIbEDUX7aB9qJENgOEb8AxweIjLkPUb3zdcuWncD14X12I4D6HALM\nc8J/zwLVhLC2QARCnCVVVEXhB6Up/JwWgbQN2Ct6eJGFQIy+8LljQGqFyy+Evi7YHxc+135IvgZ6\nDoWfuQyYQTNDVMNJjRCqRbp8JcpHn4E8BlXWEuTufRBYALqPwfc26B+CQAHwIsTeASPVILdD5GXg\n3AvySQhdCdo+CB0WnR6mXAfH3wcpGoyp4AoBNpiZBx39MBwQFKs7UmHIDKUQ0TOC48NYeE6CR9dD\n5jqoUwnL+UHg+ifE87vpUtGwz6DAnV4m336M4xXzmFm4h4Ov5cMHUSA3CHkIZSKo3hVCL8unQaWE\n5uceQm/oUUsbCMoz4KgDtfYkIX89UtlvofcllK480JhRvVyOfFsj2oRcAn316FaMxf/p70S1m7Yd\nvBZIWAzdr4GSCKhRGSOQ/UFQN4ESBfJ0kPZASAZyKF5m4sxlZaw4somPP7sCdD8H03poPgnqRohZ\nDWknMFxciPq6EK67rFDngBEFDpoo9x3HOHmU61reY+2TLxLcpIPe81Eg8OS/HgjAT/4DrP+uTZIk\nBes6WLserEHmP/AFB3+5CH+nBjJUsFSBe9SiTUWPGsaFoNsL6dGim9YbwAPA2hEYjYYrwTrp/7R3\ntsFZVFcc//2fJMS8kARsQQPyEgiibVUQmekoqG2hlKmCVkc+1Klv/WC1ah2m2um04nSwWqe1daat\nrVZsO2Ol4iixjqOopU4ZFEoI2FgtL4IQIVAFQkIIJDn9cG/KIyQayO4Dqec3s7O7d3f2v2fvs+e5\nu3vuue/TtO5k8k5tJ3/4ATIFRmtdSQgRagPa4eSmG2meeR9tA8vgpi1QnIERQ+DCfPIWbaDj1aUU\nPX8F+xeWUn7WLlrb91O8rZhdq8rROfug/j0scypMLQ9hfO3Azs0wMBO+/p5ZCWO2onFjsH/mw0oY\nNL+RvfPn0/7lB0NgeNMH0DwYNr8Dp+ZByylQmgcNDdC2B0aNh23bQ8t02Wa4qhKqCmG4MaxqEw0P\njA55XgYTwnnG5FMxdQftDQNo3l3B+eP+SmeZWH73UjhwA2w5CFPLoLIR3hgL12dg7kZofpkh989i\nx8NDYehm2JKBqlEMuK6ZvCVG65ImKCyn5EcdFLYfYE/lIDpeymf+vbfx/Sd/zuCTGhk27V32UsL2\n+tMo+GkHLRvvh8/eTedn8ikre599ZQOxbVA2ezfNb5STqe2g/eICOlrymTRuOVtLK9leM5Jzv7aM\nVX++gLOveY31757OWdW1bPhgLNNaXyGvqZMni69k/9xiSipaaN5dHn5Ez75C5ZbRFHfsY/2MJ+HK\nH0JVBn4NmYva6VybH1Lv7oLK72zgwO5C/nPFe3D55NBpqGgXXFjBKbc0cGBHAXt2l1F6XhN7Hh1K\nxaU7aVlYysHTimAhIVa4GhgImZntaHknHb+8BcofgomQf14b7QtqYfFEBq3fS8dQ0bQkpDwsLGtl\nyJTtbF09AiqNkjm7Kd/TRMPeEUyY8Dp1Kz4Pf+vE3s2H59ZQdMlYWhtKQov6c4Ssj0/XMKLuDKrf\nW8fLt62A6+ZRMGA/mdkHaNtSSvnKXZRubWFdVTUvXPUlXtLFPFJzM1+ZUMOfMlfzdkU1bw2u5iku\no/WkQv6SmZOAY53Xy73nuWPNFaFiHMc5XvTRsW4iPAb1hs1mNupYtY4X/dKxOo7jnMikmujacRzn\nk4g7VsdxnIRxx+o4jpMw/c6xSpoh6S1J/5Z0R8pamyStkbRa0opYNkjSi5LelvRC15hefdD4naRG\nSWuzynrUkPQ9Sesk/UvS9IR175K0VVJtnGYkqStpuKRXJNVLekPSLWnb243mt9O2VVKhpNfj76Ze\n0j1p2/kxuqnWq9MNZtZvJsIfwXrCF8UCQjDm+BT1NgKDDiu7D/huXL4DuLePGhcQAnvWfpwGIUB1\nNaE3wah4LZSg7l3A7d3se0YSuoRhAM+Jy6WE6M/xadr7EZpp21oc53mEMX3Oz1G9dqebqq0+HTn1\ntxbrZGCdmW02s4PAE8CsFPW6BkHMZhYhEpY4n90XATP7O6HXQG80LgWeMLN2M9tEiFKczDHQgy4E\nmw9nVhK6ZrbdzOricjMhR9RwUrS3B81hcXOatu6Li4WE39AuclOv3elCirY6R9LfHOswwhBxXWzl\n0E2SBgYskbRS0g2xbKiZNUK4aYEhKegO6UHjcPsbSN7+myXVSXok61E1cV1Jowgt5tfo+Zomqpul\n+XosSs1WSRlJqwkpfpaa2ZvkwM4edCFH9eoE+ptjzTXnm9lEYCZwk6QpBGebTS4CgXMVbPwroMrM\nziHcmL3t0H1USCoFFgG3xlZk6te0G81UbTWzTjObQGiRT5F0ETmw8zDdqZIuJEf16hyivznWBmBE\n1vrwWJYKZrYtzncCzxAekxolDQWQdAqhw2LS9KTRQEiR3UWi9pvZTjPrutkf5tBjYWK6kvIJDu6P\nZrY4Fqdqb3eaubA16jQROsFOIof1GnWfAyblylbnEP3Nsa4ExkoaKWkAMAeoSUNIUnFs5SCpBJhO\n6K1fA1wTd/sGsLjbAxylHB9+B9aTRg0wR9IASaMJI0OtSEo33uxdXE5IxZW07qPAm2b2i6yytO09\nQjNNWyV9qutxW1IRYXyX1aRsZw+6dTmqVyeb4/317GgnYAbhy+464M4UdUYTog5WExzqnbF8MPBS\nPIcXgYo+6jxOGHWqjZAa+1pCLsBuNQhD/60nfISZnrDuH4C10e5nCO8EE9MlfKHuyLqutbE+e7ym\nfdX9CM3UbCWkP6mNemuAuR/320no+vakm2q9+nTk5LkCHMdxEqa/vQpwHMc54XHH6jiOkzDuWB3H\ncRLGHavjOE7CuGN1HMdJGHesjuM4CeOO1ekVkjpiyrm1kp6KnSaO9Vh3S/pCkufnOCcSHsfq9ApJ\nTWZWFpcfI6Qb/NnxPSvHOTHxFqtzLCwHxnStSJoraUXMnnRXVvkPFJKSvyrpcUm3x/IFki6Py1+M\nLeE1MfNSQSx/R9I8SavitnGxfGpM5Fwbtx1zy9lx0sIdq9NbBCApj9AHvT6uTwOqzWwyMAGYJOkC\nSZOAywjdLGcSkpB8+IBSIbAAuNLMziYkL78xa5cdZnYu8BAwN5bNBb5lIevYFKA1aUMdp6+4Y3V6\nS5GkWmAbISPSQ7F8OjAtbqsFTgeqCX30F5vZQQtp+p7t5pinAxvNbENc/z0wNWv703G+ipDhHmAZ\n8IDCECuDzKwzCeMcJ0ncsTq9ZV9sJY4A9hOy3kNoyf7YzCaa2QQzG2dmC47iuN1ltu+iLc47CMOH\nYGb3AdcDRcCyrlcEjnMi4Y7V6S0CMLP9wK3APbH8BeC6rnedkiolfZrQsrwkDnBXCny1m2O+DYyU\nVBXXrwaWfuRJSFVmVm9mPyGkkRzfN7McJ3nyj/cJOP2G/4WPmFldHNnzKjNbKOkMYLkkgL3A183s\nH5JqCOnrGglp6/ZkH8vM2iRdCyyK725XAr85XO8wbpN0MaEVWw88n6iVjpMAHm7lpIakEjNriUmX\nXwW+aXFgP8f5f8ZbrE6a/FbSmYQRQx9zp+p8UvAWq+M4TsL4xyvHcZyEccfqOI6TMO5YHcdxEsYd\nq+M4TsK4Y3Ucx0mY/wLKAYsb9GB5rwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load SC\n", "SCnorm = np.loadtxt(educase_folder+\"/avg_healthy_normSC_mod.txt\")\n", "\n", "plt.imshow(np.asarray(SCnorm))\n", "plt.colorbar()\n", "plt.xlabel(\"Regions\")\n", "plt.ylabel(\"Regions\")\n", "plt.suptitle(\"Structural Connectivity\", fontweight=\"bold\", fontsize=\"18\", y = 1.05)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# load leadfield matrix\n", "lf_mat = sio.loadmat(educase_folder+\"/\"+DX+\"/leadfield.mat\")[\"lf_sum\"]\n", "\n", "#b = 0.07 # default Jansen-Rit inhibitory membrane constant\n", "b = transform_abeta_exp(abeta_burden)\n", "\n", " \n", "init = np.random.rand(4000,6,SCnorm.shape[0],1);\n", "\n", "mu = 0.1085\n", "jrm = models.JansenRit(v0=6., mu=mu, p_max=mu, p_min=mu, \n", " b = b,\n", " variables_of_interest=['y1 - y2'])\n", "\n", "\n", "# omitting any time delay between regions\n", "white_matter = connectivity.Connectivity(weights=SCnorm, tract_lengths=np.zeros(SCnorm.shape))\n", "\n", "# set up the simulator\n", "# adjust the simulation_length to your needs/ available computation time\n", "# in the paper a simulation_length of 120000 was used\n", "# but only the 2nd minute was used in the analysis to cut out possible transients \n", "sim = simulator.Simulator( connectivity=white_matter, \n", " model=jrm,\n", " coupling=coupling.SigmoidalJansenRit(a=0),\n", " integrator=integrators.HeunDeterministic(dt=0.5),\n", " conduction_speed=100,\n", " monitors=monitors.SubSample(period=5),\n", " initial_conditions = init,\n", " simulation_length=4000.0)\n", "sim.configure();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run simulation" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# if you whish to save the simulated timeseries \n", "# set save_timeseries_to_file to True and declare a path/folder in save_path\n", "save_timeseries_to_file = False\n", "save_path = \"\"" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def run_sim(global_coupling):\n", " sim.coupling.a = global_coupling\n", "\n", " subs = sim.run()\n", " PSP = np.squeeze(subs[0][1])[400:,:] # cut out first part of simulation due to possible transients\n", " \n", " ##### Analyze PSP\n", " # analyze signal, get baseline and frequency\n", " psp_baseline = PSP.mean(axis=0)\n", " psp_f, psp_pxx = sig.periodogram(PSP[:,:]-psp_baseline, fs=200, nfft=1024, axis=0)\n", " psp_Pxx = psp_pxx.T\n", " psp_peak_freq = psp_f[np.argmax(psp_pxx.T, axis=1)]\n", " \n", " ##### Analyze EEG\n", " # generate EEG by multiplication of PSP with lf_mat\n", " EEG = lf_mat.dot(PSP.T).T # EEG shape [n_samples x n_eeg_channels]\n", " \n", " # reference is mean signal, tranposing because trailing dimension of arrays must agree \n", " EEG = (EEG.T - EEG.mean(axis=1).T).T\n", " \n", " # analyze signal, get baseline and frequency\n", " eeg_baseline = EEG.mean(axis=0)\n", " EEG = EEG - EEG.mean(axis=0) # center EEG\n", " \n", " eeg_f, eeg_pxx = sig.periodogram(EEG, fs=200, nfft=1024, axis=0) \n", " eeg_Pxx = eeg_pxx.T\n", " eeg_peak_freq = eeg_f[np.argmax(eeg_pxx.T, axis=1)]\n", " \n", " if save_timeseries_to_file :\n", " # save results \n", " if not os.path.exists(save_path):\n", " os.makedirs(save_path)\n", "\n", " file_name=save_path+\"/\"+DX+\"_gc_\"+str(global_coupling)+\".mat\"\n", " sio.savemat(file_name,mdict={\"PSP\":PSP})\n", " \n", " return (global_coupling,psp_baseline, psp_peak_freq, eeg_peak_freq)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# define global coupling range to explore in simulation\n", "# in the original study a range from 0 to 600 with steps of 3 was explored\n", "# NOTE: Too many steps will take very long time when running the script on a local computer\n", "gc_range = np.arange(0,600,30)\n", "\n", "\n", "# run simulation in parallel - be sure that your computer has enough cores\n", "n_cores = 4 # specify number of cores which should be used in parallel \n", "p = mp.Pool(processes=n_cores)\n", "results = p.map(run_sim, gc_range)\n", "p.close()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Display results" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# concatenate the output from the parallel loop\n", "psp_baseline = results[0][1]\n", "psp_peak_freq = results[0][2]\n", "eeg_peak_freq = results[0][3]\n", "\n", "for i in range(len(results)-1):\n", " psp_baseline = np.vstack((psp_baseline,results[i+1][1]))\n", " psp_peak_freq = np.vstack((psp_peak_freq,results[i+1][2]))\n", " eeg_peak_freq = np.vstack((eeg_peak_freq,results[i+1][3]))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# define colormap\n", "lower = plt.cm.jet(np.linspace(0,1,200))\n", "colors = np.vstack(([0,0,0,0],lower))\n", "tmap = matplotlib.colors.LinearSegmentedColormap.from_list('test', colors)\n", "tmp = np.array([26,16,11,6])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABPoAAAEyCAYAAABj+b7SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIiIiIiIgn4/3gl2UTGDU1IAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot results\n", "plt.figure(figsize=(18, 4))\n", "grid = GridSpec(nrows=1, ncols=3)\n", "x_coord = gc_range.repeat(379)\n", "x_coord_eeg = gc_range.repeat(64)\n", "\n", "plt.suptitle(\"Diagnosis : \"+DX, fontweight=\"bold\", fontsize=\"18\", y = 1.05)\n", "\n", "# plot psp frequency\n", "plt.subplot(grid[0,0])\n", "plt.hist2d(x_coord, psp_peak_freq.flatten(), bins=[len(gc_range),40], cmap=tmap,\n", " range=[[np.min(gc_range),np.max(gc_range)],[-1,14]] ) #, vmax=100)\n", "plt.colorbar(label=\"Number of regions\")\n", "plt.grid()\n", "plt.ylabel(' Frequency in Hz')\n", "plt.xlabel(' global coupling ')\n", "\n", "# plot psp baseline\n", "plt.subplot(grid[0,1])\n", "plt.hist2d(x_coord, psp_baseline.flatten(), bins=[len(gc_range),40], cmap=tmap,\n", " range=[[np.min(gc_range),np.max(gc_range)],[-1,40]])#, vmax=100)\n", "plt.colorbar(label=\"Number of regions\")\n", "plt.grid()\n", "plt.ylabel(' PSP in mV')\n", "plt.xlabel(' global coupling ')\n", "\n", "# plot eeg frequency\n", "plt.subplot(grid[0,2])\n", "plt.hist2d(x_coord_eeg, eeg_peak_freq.flatten(), bins=[len(gc_range),40], cmap=tmap,\n", " range=[[np.min(gc_range),np.max(gc_range)],[-1,14]] )#, vmax=100)\n", "plt.colorbar(label=\"Number of regions\")\n", "plt.grid()\n", "plt.ylabel(' Frequency in Hz')\n", "plt.xlabel(' global coupling ')\n", "\n", "plt.tight_layout() \n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }